# Questions on Algebra: Systems of Linear Equations answered by real tutors!

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 120659: solve each systems of equations algebraically 28. {2x+4y=10} {3x-4y=-15} Click here to see answer by jim_thompson5910(28598)

 Question 120662: 35. solve each systems of equations algebraically x+8y=0 -x+y=-9 Click here to see answer by jim_thompson5910(28598)

 Question 120663: solve each systems of equations algebraically 36. x+5y=11 3x+2y=46 Click here to see answer by jim_thompson5910(28598)

 Question 120664: solve each systems of equations algebraically 38. -3x+12y=6 2x-8y=6 Click here to see answer by jim_thompson5910(28598)

 Question 120670: solve each system of inequalities by graphing 42. {-9x+3y>-3} {2x-y>-3} Click here to see answer by jim_thompson5910(28598)

 Question 120711: word problem: Bob climbed down a ladder from his roof, while Rob climbed up another ladder next to him. Each ladder had 30 rungs. Their friend Jill recorded the following info: Bob went down 2 rungs every second, Rob went up 1 rung every second. At some point they were at the same hight, what rung were they on. I know the answer is ten, but I can't come up with the 2 equations that I need to get the answer. We are working on finding points of intersection. Can you help me? Thank! Click here to see answer by bucky(2189)

 Question 120754: Classify each system. Give the number of solutions. {y=-x+5 {x+y=5 Click here to see answer by rapaljer(4667)

 Question 120842: Five years ago, Liz was twice as old as her younger sister. Five years from now, Liz will only be 1 1/3 times as old as her sister. How old is each now? I'm really confused could someone help me please? Click here to see answer by stanbon(57424)

 Question 120844: The sum of the two digit number is 8, and their difference is 6. If the value of the number is less than 50, what is the number? Could someone help me please? Click here to see answer by stanbon(57424)

 Question 120846: The sum of Jim's age and Mike's age is 52. Six years ago Mike was four times as old as Jim was. How old is Jim now? Could someone help me please? Click here to see answer by checkley71(8403)
 Question 120846: The sum of Jim's age and Mike's age is 52. Six years ago Mike was four times as old as Jim was. How old is Jim now? Could someone help me please? Click here to see answer by solver91311(16897)

 Question 120843: 2y-x=-8 3x+4y=-6 I have to solve this by elimination and Im really confused. Could someone help please? Click here to see answer by checkley71(8403)

 Question 121110: SUBSTITUTION AND ELIMINATION 1. 2X+Y-3Z=0 2. -2X+2Y+Z=-7 3. X-4Y-3Z=7 TRYING TO SOLVE FOR X,Y,Z TRIED ELIMINATING X BY ADDING 1&2 WHICH GAVE ME 3Y-2Z=-7 ANS. IS NOW NEW ANS.4 THEN TRIED TO SOLVE BY ELIMINATING X AGAIN BY USING1&3 WHICH CHANGED NO.3 AFTER MULT. -2(X-4Y-3Z=7 WHICH GAVE ME -2X+4Y+6Z=-14 WHICH IN TURN GAVE ME NEW ANS.5 NOW- THIS IS WHERE I GET CONFUSED DO I SOLVE FOR EITHER Y OR Z IN NEW ANSWERS 4&5 BY FINDING NEW COMMON FACTOR, THEN SOLVING? OR DO I PLACE ANY OF THE ANSWERS INTO ANOTHER PROBLEM? Click here to see answer by stanbon(57424)
 Question 121110: SUBSTITUTION AND ELIMINATION 1. 2X+Y-3Z=0 2. -2X+2Y+Z=-7 3. X-4Y-3Z=7 TRYING TO SOLVE FOR X,Y,Z TRIED ELIMINATING X BY ADDING 1&2 WHICH GAVE ME 3Y-2Z=-7 ANS. IS NOW NEW ANS.4 THEN TRIED TO SOLVE BY ELIMINATING X AGAIN BY USING1&3 WHICH CHANGED NO.3 AFTER MULT. -2(X-4Y-3Z=7 WHICH GAVE ME -2X+4Y+6Z=-14 WHICH IN TURN GAVE ME NEW ANS.5 NOW- THIS IS WHERE I GET CONFUSED DO I SOLVE FOR EITHER Y OR Z IN NEW ANSWERS 4&5 BY FINDING NEW COMMON FACTOR, THEN SOLVING? OR DO I PLACE ANY OF THE ANSWERS INTO ANOTHER PROBLEM? Click here to see answer by MathLover1(6649)

 Question 121229: One number is 4 more than another. If 6 times the smaller minus 4 times the larger is 4, what are the two numbers? Second question the length of a rectangle is 5in more than twice the width. If the perimeter of the rectangle is 76 in what are the two dimensions of the rectangle? I understand the examples of similar problems and why the answers are correct but when I do them I'm placing the equations the wrong way and not understanding why. Would greatly appreciate any help in this matter. Click here to see answer by stanbon(57424)

 Question 121349: What is the difference between "you need to have less than 4 buckets" and "you need at most 4 buckets"? This question is very simple, but I don't know how to express it the proper way. How would you express the answer to this problem or am I making this to complicated? Greatly appreciate an assist. Thanks Click here to see answer by Edwin McCravy(8922)

 Question 121371: Find an equation of the line containing the given pair of points (-2, -9) and (-6, -7). Please show your steps. Thank you Click here to see answer by checkley71(8403)

 Question 121386: I need to solve the following systems of three equations x+y+z=5 x-y+z=1 x-z=y+3 Thank you so very much Click here to see answer by Fombitz(13828)

 Question 121541: I have tried to figure out how to properly graph this problem however, when I looked at the answer already provided and what I had come up with became confused because they did not seem to match. x-2y=8 and 3x-2y=12. Here is what I have worked out so far. x-2y = 8 -2y = -x + 8 y = x/2 - 4 y intercept: (0, -4) slope: 1/2 3x-2y = 12 -2y = -3x + 12 y = 3x/2 - 6 y intercept: (0, -6) slope: 3/2 I assume I would graph with the following points (0,-4) and (4,0) for the second one I assumed I would graph the following points (0,-6) (6,0). I think I have confused the actual points in which I am to graph. Could you please tell me if I am graphing the correct points? I do not have the ISBN for this book becasue it is an online class. Thanks and have a great day!! Click here to see answer by Fombitz(13828)
 Question 121541: I have tried to figure out how to properly graph this problem however, when I looked at the answer already provided and what I had come up with became confused because they did not seem to match. x-2y=8 and 3x-2y=12. Here is what I have worked out so far. x-2y = 8 -2y = -x + 8 y = x/2 - 4 y intercept: (0, -4) slope: 1/2 3x-2y = 12 -2y = -3x + 12 y = 3x/2 - 6 y intercept: (0, -6) slope: 3/2 I assume I would graph with the following points (0,-4) and (4,0) for the second one I assumed I would graph the following points (0,-6) (6,0). I think I have confused the actual points in which I am to graph. Could you please tell me if I am graphing the correct points? I do not have the ISBN for this book becasue it is an online class. Thanks and have a great day!! Click here to see answer by algebrapro18(206)

 Question 121575: Write the equation of the line with the given slope and y-intercept. slope: -2 y intercept: (0, -2) Click here to see answer by MathLover1(6649)

 Question 121604: the sum of two numbers is 12. three times the larger minus 4 is equal to 5 times the smaller. what are the numbers? Click here to see answer by checkley71(8403)

 Question 121707: Solve this system of linear equations by graphing 3x-6y=9 x-2y=3 i have try but cant seem to get the hang of it Click here to see answer by Fombitz(13828)

 Question 121596: Given the points: A (1,1) B (8,12) and C (12,3). 1. Find the perimeter of Triangle ABC. (Using the distance formula). 2. Find the equation of line AB. 3. Find the equation of altitude CD. 4. Find the intersection of line AB and line CD, this is point D (__,__). 5. Find the length of line segment AB (using distance formula). 6. Find the length of line segment CD (using distance formula). 7. Find the area of triangle ABC. Please help with solving these problems. I am trying to help my daughter and I understand algebra, but not these problems. Thank you very much. I need to see the work, so I can explain to her. Click here to see answer by algebrapro18(206)

 Question 121842: Find values for m and b in the system 5x+7y=b, mx+=22 so that the solution to the system is (-3,4). don't understand this problem Click here to see answer by jecegc(3)

 Question 121940: I need a little help with the following problems: 2x + 3y = 8 2x - y = -8 3x - 2y = -5 3y - 4x = 8 3x - y = 12 y - 3x = 15 Click here to see answer by solver91311(16897)

 Question 121939: I need help with the following problems: y = 2x + 6 y = -x -3 y - 3x = 9 2y + x = 4 y + 4 = 2x 6x - 3y = 12 Click here to see answer by jim_thompson5910(28598)

 Question 122041: Solve each of the following systems of linear inequalities graphically. 3x-y ≤ 6 x ≥1 y ≤ 3 I would truly appreciate it if someone could help me out with this. I believe I may be making it harder than it is and I have completely confused myself. Thank you so much for taking the time to help!! Click here to see answer by solver91311(16897)

 Question 122145: Solve this system of linear equations by graphing 2x-y=4, 2x-y=6 Click here to see answer by stanbon(57424)

 Question 122285: Decide whether the values of the variables listed are solutions of the system of equations. 3x + 3y + 2z = 4 x - y - z = 0 2y - 3z = -8 x= 1, y= -1, z= 2 Click here to see answer by algebrapro18(206)

 Question 122443: The drama club sold 800 tickets to their spring play. Floor seats cost \$10 each & balcony seats cost \$8 each. Ticket sales were \$7440. How many floor seat tickets were sold? please help me! Click here to see answer by gems(12)

 Question 122548: Elimination: How do you solve these two problems: r - 3p = 1 6r - p = 6 -2x + y = 3 x + 4y = 3 Click here to see answer by stanbon(57424)

 Question 122547: Elimination:How do you figure out the problems: 3x + 2y = 9 -x + 3y = 8 5X +3Y = 1.5 -8x - 2y = 20 Click here to see answer by checkley71(8403)

 Question 122666: solve by graph: x + y = 3 x + y = -1 2x + y = 4 x + y = 3 solve by addition x + y = 2 x - y = 2 solve by substitution x - y = 12 y = 2x solve by substitution 3x - y = -7 x + y = 9 Click here to see answer by jim_thompson5910(28598)

 Question 122299: At the market you purchase some apples and oranges. There were 12 items purchased. You buy twice as many apples as oranges. a. Define the variables. b. Write an algebraic equation using one variable for the above situation. c. Solve this equation for the number of apples and oranges you purchase Please, I really need help on this one! Click here to see answer by stanbon(57424)