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Polynomials-and-rational-expressions/147246: I need to divide and simplify this equation and I'm not exactly sure what to do? 5w-25/121 divided by w-5/77w I start with 5w-25/121 times 77w/w-5 but I'm not sure where to go from there I would really appreciate any help with this, thanks! 1 solutions Answer 107611 by jim_thompson5910(28476)   on 2008-07-05 13:36:21 (Show Source): You can put this solution on YOUR website! Start with the given expression. Multiply the first fraction by the reciprocal of the second fraction . Factor to get . Factor 121 to get Factor to get Combine the fractions. Highlight the common terms. Cancel out the common terms. Simplify. Multiply. So simplifies to . In other words, where or

Equations/147238: 7+5(x-3)=3(x+2) 1 solutions Answer 107609 by jim_thompson5910(28476)   on 2008-07-05 13:04:40 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is

Numbers_Word_Problems/147235: Three times the sum of 8 and twice an unknown number is equal to 4 times the sum of 3 times the unknown number and 8. Find the number. I got 2.66, but it doesn't work. Also, what does "4 times the sum of 3 times the uknown number" mean mathmatically? 1 solutions Answer 107602 by jim_thompson5910(28476)   on 2008-07-05 12:22:51 (Show Source): You can put this solution on YOUR website! The statement "Three times the sum of 8 and twice an unknown number " translates to and the statement "4 times the sum of 3 times the unknown number and 8" translates to . Altogether they form the equation Start with the given equation. Distribute. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is Which approximates to

Numbers_Word_Problems/147234: When 3 times the sum of 4 and an unknown number is subtracted from 10 times the unknown number, the results is equal to 5 time the sum of 9 and twice the unknown number. Find the number. My equation is: 3(4+x) = 5(9+2x). When I solve this I get a fraction, which does not work. HELP!!! 1 solutions Answer 107600 by jim_thompson5910(28476)   on 2008-07-05 12:19:21 (Show Source): You can put this solution on YOUR website! You're on the right track, but you forgot to include the portion "is subtracted from 10 times the unknown number". So the equation should be Distribute. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is which means that the unknown number is -19.

Graphs/147230: This question is from textbook algebra I need help, if you may. It says without drawing the graph of the given equation, determine: How many x-intercepts the parabola had and whether its vertex lies above or below or on the x-axis. y=x^2-5x+6 Thank you=) 1 solutions Answer 107599 by jim_thompson5910(28476)   on 2008-07-05 12:15:31 (Show Source): You can put this solution on YOUR website! To figure out how many x-intercepts there are, we need to find out how many solutions there are. So let's use the discriminant formula . From we can see that , , and Start with the discriminant formula Plug in , , and Square to get Multiply to get Subtract from to get Since the discriminant is greater than zero, this means that there are two real solutions. So there are two distinct x-intercepts. As a quick note, since there are two distinct x-intercepts, this means that the vertex cannot be on the x-axis. So it is either above or below the x-axis. --------------------------------------------- To find out if the vertex is above or below the x-axis, we need to find the y-coordinate of the vertex. To do that, we need to find the x-coordinate of the vertex. So let's use this formula to find the x-coordinate of the vertex. From the equation we can see that a=1 and b=-5 Plug in b=-5 and a=1 Negate -5 to get 5 Multiply 2 and 1 to get 2 So the x-coordinate of the vertex is . Lets plug this into the equation to find the y-coordinate of the vertex. Start with the given polynomial Plug in Square to get Multiply 5 by to get Now combine like terms So the vertex is Since the y-coordinate of the vertex is , this means that the vertex is below the x-axis

Quadratic_Equations/147227: Explain how the quadratic formula can be used to factor a quadratic polynomial into two binomials using this equation. I am not so interested in the solution as I am interested in the explanation of the steps in factoring this equation into two binomials. 5x² + 8x + 3. 1 solutions Answer 107598 by jim_thompson5910(28476)   on 2008-07-05 12:07:32 (Show Source): You can put this solution on YOUR website! It turns out that the solutions to any quadratic will form the factors of the quadratic itself. So let's say that we want to factor . We know that this factors to . But if we didn't know that, we can use the quadratic formula to find the solutions and . From there, we need to get all terms to one side to get and . Now just combine the two equations into one like this (note: this is using the zero product property in reverse).

Quadratic_Equations/147229: This question is from textbook algebra Basically it asks to solve by using the quadratic forumla, by leaving irrational roots in the simplest radical form. The problem is 3x^2-4x-5=0 The trpuble I am having with this is solving it, I tried doing the problem by using the quadratic formula, but I get frustrated in the middle of the problem. I get stuck. Thank You if you are willing to take the time to help me=) 1 solutions Answer 107597 by jim_thompson5910(28476)   on 2008-07-05 12:02:45 (Show Source): You can put this solution on YOUR website! Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) or Break up the expression. or Reduce So our answers are or which approximate to or

Equations/147232: This question is from textbook algebra I have no idea what I am doing wrong with this question. This question is having to tranform equations: Multiplication and division the problem is 1/2x=3 5/6 I tried solving this so many times now, and I always end up with 23. I am wondering what I am doing wrong. Thank you=) 1 solutions Answer 107596 by jim_thompson5910(28476)   on 2008-07-05 11:58:50 (Show Source): You can put this solution on YOUR website! Start with the given equation. Convert the mixed number into the improper fraction Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the answer is Which approximates to

Linear-equations/147233: This all new to me. How do I find the slope that is passsing through (2,5) and 3,10). Please explain how I go about figuring this out. 1 solutions Answer 107595 by jim_thompson5910(28476)   on 2008-07-05 11:55:55 (Show Source): You can put this solution on YOUR website! Note we're going to let , , , . This means that the two points and are the points (2,5) and (3,10) Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is

Graphs/147216: When solving a system of equations, how do I know what numbers to put in place of x and y? An example is: 2x – 6y = 42 3x – 9y = -15 I am to solve similar systems of equations but I do not understand what nubers to replace the variables with. Can you help? Thank you very much. 1 solutions Answer 107577 by jim_thompson5910(28476)   on 2008-07-04 20:42:39 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the first equation by -3. Distribute and multiply. Multiply the both sides of the second equation by 2. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Notice how the x terms cancel out. Simplify. Since is never true, this means that there are no solutions. So the two equations are inconsistent.

Graphs/147213: Solve the following compound inequality and write down the solution in interval notation: 2x – 4 < 0 or 6 – x < 3 1 solutions Answer 107570 by jim_thompson5910(28476)   on 2008-07-04 18:38:28 (Show Source): You can put this solution on YOUR website! Let's solve the first inequality : Start with the first inequality. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. --------------------------------------------------------------------- Now let's solve the second inequality : Start with the second inequality. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. So our answer is or So the solution in interval notation is: () ()

percentage/147212: Please help me setting this equation correctly. Highly appreciated. A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost $32, what was the sales tax rate? x= sales tax rate x= 99.84-32(3) x= 99.84-96 x= 3.84 % ???? Thanks for sharing your knowledge. 1 solutions Answer 107561 by jim_thompson5910(28476)   on 2008-07-04 17:04:38 (Show Source): You can put this solution on YOUR website! Let t=sales tax If she bought one item at $32, then the total cost is Multiply both sides by 3 (since she bought 3 pairs) Replace 3c with the given total cost. Distribute. Subtract 96 from both sides. Divide both sides by 96 to isolate t So the answer is which means that the sales tax is 4%

Geometry_proofs/147137: 3(3x – 7) = 6 if this is the give in a two columb proof, then what is the rest of the answer 1 solutions Answer 107555 by jim_thompson5910(28476)   on 2008-07-04 15:57:21 (Show Source): You can put this solution on YOUR website! I'm not sure what you want to do about the proofs, but I'm assuming that you want to solve for x. Start with the given equation. Distribute. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is

Square-cubic-other-roots/147207: sqrt of x-6 - sqrt of x-6 = 2 I got this: sqrt of -x+6 - sqrt x-6 = 2 sqrt of -x+6 - sqrt -x+6 = 2 answer of 0=2, so the final answer is 0. I am supposed to check for extraneous answers also. Are my calculations correct? How do I figure for extraneous answers? Thank you for your help. 1 solutions Answer 107554 by jim_thompson5910(28476)   on 2008-07-04 15:55:08 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Since this equation is never true for any x value, this means there are no solutions.

Graphs/147206: I need to describe what the graph of interval [-4,10] looks like. I do not even know how to begin to answer the question. Please help me get on the right track!! 1 solutions Answer 107553 by jim_thompson5910(28476)   on 2008-07-04 15:41:40 (Show Source): You can put this solution on YOUR website! The graph is simply a shaded line from -4 to 10 where there are closed circles at -4 and 10. So the graph looks like this: Graph of the solution set Note: There is a closed circle at which means that we're including this value in the solution set Also, there is a closed circle at which means that we're including this value in the solution set.

sets-and-operations/147196: This is actually supposed to be a formula but what are the formula's for the distance formula on a (xy) Plane ( 2D, and the Midpoint formula on a (x,y) plane, (2d) . Is it the same formula on a number line? 1 solutions Answer 107546 by jim_thompson5910(28476)   on 2008-07-04 15:19:04 (Show Source): You can put this solution on YOUR website! Distance formula where and are the two points. Midpoint Formula: Find x-coordinate of midpoint Find y-coordinate of midpoint So the midpoint between the points and is These formulas work on the number line as well. Just make each y-coordinate equal to zero. So if you want find the distance between 4 and 10. Think of them as the points (4,0) and (10,0) and find the distance between the two points. Although, you can simply subtract 4 from 10 to get 6 (which is the distance).

Inequalities/147201: Determine wheteher tbe given number is a solution of the inequality. Mark all that apply. x>10 A)4 B) -10 c) 0 D)11 1 solutions Answer 107543 by jim_thompson5910(28476)   on 2008-07-04 15:08:59 (Show Source): You can put this solution on YOUR website! Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Answer: So the only solution of the group is .

Inequalities/147202: Determine whether the given number is a solution of the inequality! x>6 A) -6 B) 0 C) 6 D) 8 1 solutions Answer 107541 by jim_thompson5910(28476)   on 2008-07-04 15:07:14 (Show Source): You can put this solution on YOUR website! Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Answer: So the only solution of the group is . So the only answer choice is D).

Inequalities/147203: Determine whether the given number is a solution on the inequality/ Mark all that apply. x>6 A) -6 b)0 c)6 d)8 x<10 A)4 B) -10 C)0 D)11 1 solutions Answer 107540 by jim_thompson5910(28476)   on 2008-07-04 15:06:33 (Show Source): You can put this solution on YOUR website! # 1 Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Answer: So the only solution of the group is . So the only answer choice is D). # 2 Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Answer: So the solutions of the group are , , and . So the answer choices are A,B, and C

Expressions-with-variables/147205: This question is from textbook Alebra 2 system of linear equations in two variables using substitution please help me solve these equation: x-y=3 6x+8y= -38 solve for x (note: both equations are together, noth separate problems) 1 solutions Answer 107538 by jim_thompson5910(28476)   on 2008-07-04 15:05:39 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y. So let's isolate y in the first equation Start with the first equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce --------------------- Since , we can now replace each in the second equation with to solve for Plug in into the second equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown. Distribute to Multiply Combine like terms on the left side Add 24 to both sides Combine like terms on the right side Divide both sides by 14 to isolate x Divide -----------------First Answer------------------------------ So the first part of our answer is: Since we know that we can plug it into the equation (remember we previously solved for in the first equation). Start with the equation where was previously isolated. Plug in Multiply Combine like terms -----------------Second Answer------------------------------ So the second part of our answer is: -----------------Summary------------------------------ So our answers are: and which form the point Now let's graph the two equations (if you need help with graphing, check out this solver) From the graph, we can see that the two equations intersect at . This visually verifies our answer. graph of (red) and (green) and the intersection of the lines (blue circle).

Inequalities/147204: Determine whether the given number is a solution on the inequality/ Mark all that apply. x>6 A) -6 b)0 c)6 d)8 x<10 A)4 B) -10 C)0 D)11 1 solutions Answer 107537 by jim_thompson5910(28476)   on 2008-07-04 15:03:42 (Show Source): You can put this solution on YOUR website! # 1 Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Answer: So the only solution of the group is . So the only answer choice is D). # 2 Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is true,this means that is a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . Since the inequality is false,this means that is not a solution. ------------------------------------------------------------------------ Answer: So the solutions of the group are , , and . So the answer choices are A,B, and C

Inequalities/147199: Determine whether the given number is a solution of the inequality. Mark all that apply. x>6 a) -6 B) 0 C)6 D)8 1 solutions Answer 107536 by jim_thompson5910(28476)   on 2008-07-04 14:57:51 (Show Source): You can put this solution on YOUR website! Let's see if is a solution. Start with the given inequality. Plug in . So is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . So is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . So is not a solution. ------------------------------------------------------------------------ Let's see if is a solution. Start with the given inequality. Plug in . So is a solution. ------------------------------------------------------------------------ Answer: So the only solution of the group is . So the only answer choice is D)

Inequalities/147198: Determine whether the given information is a solution of the inequailty. Mark all that apply! y<5 A) 0 B)5 c)-1 D)-5 1 solutions Answer 107535 by jim_thompson5910(28476)   on 2008-07-04 14:27:41 (Show Source): You can put this solution on YOUR website! Let's see if is a solution for the inequality . Start with the given inequality. Plug in . Since the inequality is true, this means that is a solution. Let's see if is a solution for the inequality . Start with the given inequality. Plug in . Since the inequality is not true, this means that is not a solution. Let's see if is a solution for the inequality . Start with the given inequality. Plug in . Since the inequality is true, this means that is a solution. Let's see if is a solution for the inequality . Start with the given inequality. Plug in . Evaluate and simplify the left side. Since the inequality is true, this means that is a solution. Answer: So every number except 5 is a solution to . The answer choices are A, C and D

Inequalities/147197: Determine whether the given number is a solution of the inequality. Mark all that apply? x>4 A) 4 b) 0 c) -4 d) 6 1 solutions Answer 107534 by jim_thompson5910(28476)   on 2008-07-04 14:25:14 (Show Source): You can put this solution on YOUR website! Let's see if is a solution for the inequality . Start with the given inequality. Plug in . Since the inequality is not true, this means that is not a solution. Let's see if is a solution for the inequality . Start with the given inequality. Plug in . Since the inequality is not true, this means that is not a solution. Let's see if is a solution for the inequality . Start with the given inequality. Plug in . Since the inequality is not true, this means that is not a solution. Let's see if is a solution for the inequality . Start with the given inequality. Plug in . Since the inequality is true, this means that is a solution. Answer: So the only solution of the group is 6. So d) is the only answer choice.

Expressions-with-variables/147194: Please help me factor this. I don't know where to start. 1 solutions Answer 107533 by jim_thompson5910(28476)   on 2008-07-04 14:08:51 (Show Source): You can put this solution on YOUR website! Start with the given expression Group like terms Factor out the GCF out of the first group. Factor out the GCF out of the second group Since we have the common term , we can combine like terms Factor to get Rewrite as So factors to

Graphs/147184: find (f-g)(x). What is the domain of f/g f(x)=2x-5 g(x)=2-x 1 solutions Answer 107532 by jim_thompson5910(28476)   on 2008-07-04 14:06:42 (Show Source): You can put this solution on YOUR website! Start with the given property Plug in and Distribute. Combine like terms Start with the given property Plug in and Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of x that make the denominator zero, then we must exclude them from the domain. Subtract 2 from both sides Combine like terms on the right side Divide both sides by -1 to isolate x Divide Since makes the denominator equal to zero, this means we must exclude from our domain So our domain is: which in plain English reads: x is the set of all real numbers except So our domain looks like this in interval notation note: remember, the parenthesis excludes 2 from the domain If we wanted to graph the domain on a number line, we would get: Graph of the domain in blue and the excluded value represented by open circle Notice we have a continuous line until we get to the hole at (which is represented by the open circle). This graphically represents our domain in which x can be any number except x cannot equal 2

Graphs/147191: I am having problems understanding the whole concept of graphing linear inequalities, for that matter, anything with graphing. Does anyone know where to get the rules for graphing? Or anything that goes step by step. I feel like a fool! But I'm not shy and I will ask if I need help. HELP! Thanks for your time! 1 solutions Answer 107524 by jim_thompson5910(28476)   on 2008-07-04 12:56:21 (Show Source): You can put this solution on YOUR website! It would help if you posted a particular problem, but I'll see what I can do. Let's say that you want to graph the equation Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2 So starting at , go up 1 unit and to the right 2 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

expressions/147174: simply {4x(3y-16x)}-(3x-2y) 1 solutions Answer 107523 by jim_thompson5910(28476)   on 2008-07-04 12:53:58 (Show Source): You can put this solution on YOUR website! Start with the given expression. Distribute.

Equations/147180: 5r-2s=13 2r-5s=11 what is the solution of the system? 1 solutions Answer 107522 by jim_thompson5910(28476)   on 2008-07-04 12:52:02 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Let's solve the system by elimination. Now in order to solve this system by using elimination/addition, we need to solve (or isolate) one variable. I'm going to solve for s. In order to solve for one variable, we must eliminate the other variable. So if we wanted to solve for , we would have to eliminate (or vice versa). So lets eliminate . In order to do that, we need to have both coefficients that are equal in magnitude but have opposite signs (for instance 2 and -2 are equal in magnitude but have opposite signs). This way they will add to zero. By adding to zero, they can be eliminated. So to make the coefficients equal in magnitude but opposite in sign, we need to multiply both coefficients by some number to get them to an common number. So if we wanted to get and to some equal number, we could try to get them to the LCM. Since the LCM of and is , we need to multiply both sides of the top equation by and multiply both sides of the bottom equation by like this: Multiply the top equation (both sides) by Multiply the bottom equation (both sides) by Distribute and multiply Now add the equations together. In order to add 2 equations, group like terms and combine them Combine like terms and simplify Notice how the r terms cancel out Simplify Divide both sides by to isolate s Now plug this answer into the top equation to solve for x Start with the first equation Plug in Multiply Multiply both sides by the LCM of 21. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver) Distribute and multiply the LCM to each side Subtract 58 from both sides Combine like terms on the right side Divide both sides by 105 to isolate r Reduce So our answer is and which forms the ordered pair

Rational-functions/147186: Please to find the inverse function of f in f(x)=3x+1 Thanks 1 solutions Answer 107521 by jim_thompson5910(28476)   on 2008-07-04 12:49:12 (Show Source): You can put this solution on YOUR website! Start with the given equation. Switch x and y. Subtract 1 from both sides. Divide both sides by 3. So the inverse of is

Systems-of-equations/147119: x^2+y^2=11 2x^2-y^2=-2 1 solutions Answer 107505 by jim_thompson5910(28476)   on 2008-07-04 01:00:46 (Show Source): You can put this solution on YOUR website! Start with the first equation. Solve for Move onto the second equation. Plug in Distribute Combine like terms on the left side. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. Make a special note of this since we'll use this later. Take the square root of both sides. or Break up the expression So our x answers are or Go back to the first isolated equation Plug in Combine like terms. Take the square root of both sides. or Break up the expression. or Simplify So our y answers are or So the solutions are , , , and