Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 1128374: Solving a System of Equations. Solve the system, or show that it has no solution. If the system has infinitely many solutions, express them in ordered-pair form.
3/4x+1/2y=5
-1/4x-3/2y=1

Click here to see answer by ikleyn(52780) About Me 
Question 1128374: Solving a System of Equations. Solve the system, or show that it has no solution. If the system has infinitely many solutions, express them in ordered-pair form.
3/4x+1/2y=5
-1/4x-3/2y=1

Click here to see answer by MathTherapy(10552) About Me 

Question 1128503: Graph 4x+4y<20 in a coordinate plane and sketch the boundary line of the graph.
Click here to see answer by MathLover1(20849) About Me 
Question 1128503: Graph 4x+4y<20 in a coordinate plane and sketch the boundary line of the graph.
Click here to see answer by Alan3354(69443) About Me 

Question 1128526: find the slope of the following lines.
- Through (-6,9) and (4,1)
- 7x-4y=28
- x=11

Click here to see answer by josgarithmetic(39617) About Me 

Question 1128525: graph 2x-y is less than or equal to 2

Click here to see answer by Boreal(15235) About Me 

Question 1128592: Form a quadratic equations whose roots are 1+ sqrt2 and 1 - sqrt 2.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1128592: Form a quadratic equations whose roots are 1+ sqrt2 and 1 - sqrt 2.
Click here to see answer by ikleyn(52780) About Me 

Question 1128593: a) Find the coordinates of the point P, which divides the line joining the points, A(-10,35) and B(5,55) in the ration 3:2.
b) Find the lengths of AP and PB.
Thank you so much :D

Click here to see answer by josmiceli(19441) About Me 

Question 1128591: A student has drawn accurately the hyperbola xy=12. What straight line must be drawn to meet this hyperbola, so that the coordinates of their points of intersection would solve x^2 +4x-12=0
Click here to see answer by josgarithmetic(39617) About Me 

Question 1128590: x= sqrt(3+2sqrt2) + sqrt(3-2sqrt2)
a) Find the exact value of x^2 without using a calculator
b) Hence, determine the value of x.

Click here to see answer by MathLover1(20849) About Me 
Question 1128590: x= sqrt(3+2sqrt2) + sqrt(3-2sqrt2)
a) Find the exact value of x^2 without using a calculator
b) Hence, determine the value of x.

Click here to see answer by ikleyn(52780) About Me 

Question 1128589: The point A lies on the parabola y=x^2 - 6x +24. The point B lies on the parabola y= 6x-x^2 and is vertically below the point A.
a) Show this information on a neat diagram
b) Find the least value of the length of line AB

Click here to see answer by MathLover1(20849) About Me 

Question 1128648: Solve 6x - 6/x^3 = 7740
Click here to see answer by josgarithmetic(39617) About Me 
Question 1128648: Solve 6x - 6/x^3 = 7740
Click here to see answer by Edwin McCravy(20055) About Me 
Question 1128648: Solve 6x - 6/x^3 = 7740
Click here to see answer by ikleyn(52780) About Me 

Question 1128722: equation written in point slope form
slope= 2/5
passes through (-10,-1)

Click here to see answer by MathLover1(20849) About Me 

Question 1128777: Find the slope of the line that passes through the points (2,3) and (-5,3)
Click here to see answer by Quadratic1600(28) About Me 
Question 1128777: Find the slope of the line that passes through the points (2,3) and (-5,3)
Click here to see answer by ikleyn(52780) About Me 

Question 1128776: find the slope, and y-intercept on the graph, of the line 5x-3y=6
Click here to see answer by Quadratic1600(28) About Me 

Question 1128786: Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph.
x - y - 3 = 0

Click here to see answer by ikleyn(52780) About Me 

Question 1128795: If 12 lb of potatoes cost $17.00, how much would 18 lb of potatoes cost?

Click here to see answer by Quadratic1600(28) About Me 

Question 1128893: Solve the simultaneous equation graphically.
x+y=5
3x+y=9
Thanks

Click here to see answer by Alan3354(69443) About Me 

Question 1128888: ) Given the equation 2x – 6y = 12:
a) Rewrite the equation in slope-intercept form.



b) Write an equation in point-slope form of the line through the point (-4, 1) parallel to the line with the equation given above.



c) Convert the equation found in part (b) to slope-intercept form.



d) Convert the equation found in part (c) to standard form, Ax + By = C, where A, B, and C are integers.

Click here to see answer by Alan3354(69443) About Me 

Question 1128889: Solve the simultanous equation graphically
x + y = 5
3x + y = 9

Click here to see answer by MathLover1(20849) About Me 

Question 1128885: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion fully.
8x-2y=4
12x=10+3y

Click here to see answer by rothauserc(4718) About Me 

Question 1128886: Please include the following in your work on each word problem:
a) A statement defining any unknown quantities in the problem in terms of variables.
b) An equation involving the variable(s) corresponding to the information given in the problem.
c) A complete solution to the equation, showing all work.
d) A complete sentence that answers the question asked, including appropriate units.


The number of aluminum cans used each year varies directly as the number of people using the cans. If 225 people use 60,000 cans in one year, how many cans are used each year in Nashville, which has a population of 691,243?


Click here to see answer by rothauserc(4718) About Me 

Question 1128884: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion fully.
5x+4y=40
16x=15+20y

Click here to see answer by KMST(5328) About Me 

Question 1128944: find slope:
5x-6y-18
{A(-2,-4.66), B(0,-3), C(2,-1.33)}

Click here to see answer by Alan3354(69443) About Me 
Question 1128944: find slope:
5x-6y-18
{A(-2,-4.66), B(0,-3), C(2,-1.33)}

Click here to see answer by MathLover1(20849) About Me 
Question 1128944: find slope:
5x-6y-18
{A(-2,-4.66), B(0,-3), C(2,-1.33)}

Click here to see answer by ikleyn(52780) About Me 

Question 1129015: Write the equation of a line, in slope-intercept form, that has a slope of -2 and passes through the point (-1, 5).
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1129015: Write the equation of a line, in slope-intercept form, that has a slope of -2 and passes through the point (-1, 5).
Click here to see answer by josgarithmetic(39617) About Me 

Question 1129024:
Click here to see answer by Alan3354(69443) About Me 

Question 1129132: Consider the line x/3 + y/ 8 = k, where k is a positive number
a) Write the coordinates for A and B, the points where the line meets the x and y axes respectively
b) The area of triangle AOB where O is the origin, is 144 units squared. Find the value for k

Click here to see answer by MathLover1(20849) About Me 

Question 1129233: Find an equation for the line parallel to
y=10x+4
and goes through the point
(6,8)
.
Write your answer in the form
y
=
m
x
+
b
y=mx+b
.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1129233: Find an equation for the line parallel to
y=10x+4
and goes through the point
(6,8)
.
Write your answer in the form
y
=
m
x
+
b
y=mx+b
.

Click here to see answer by addingup(3677) About Me 
Question 1129233: Find an equation for the line parallel to
y=10x+4
and goes through the point
(6,8)
.
Write your answer in the form
y
=
m
x
+
b
y=mx+b
.

Click here to see answer by MathTherapy(10552) About Me 

Question 1129245: y=1/3x+7/3 can some one help me make it standard form.
Click here to see answer by MathLover1(20849) About Me 

Question 1129302: hello all,
I wrote on here a couple days ago asking for help with my algebra homework with the linear equations. I understand now to do ones with the variables on the two sides of the equality like y=3x-2. I know that X=0 and also 3 and Y=2 and 0 on the T chart for the graphing.
Now the part that I'm having a hard time with is when the X and Y are on the same side of the equality like for example 2x+3=6. I'm having a rough time getting the T chart X and Ys for these problems.
any help would be really helpful as I have a quiz on Tuesday that I don't wanna fail.
Two ther examples of the ones I don't understand are 2x-3y=6 and also 3x+4y=12
thank you so much in advance.

Click here to see answer by MathLover1(20849) About Me 
Question 1129302: hello all,
I wrote on here a couple days ago asking for help with my algebra homework with the linear equations. I understand now to do ones with the variables on the two sides of the equality like y=3x-2. I know that X=0 and also 3 and Y=2 and 0 on the T chart for the graphing.
Now the part that I'm having a hard time with is when the X and Y are on the same side of the equality like for example 2x+3=6. I'm having a rough time getting the T chart X and Ys for these problems.
any help would be really helpful as I have a quiz on Tuesday that I don't wanna fail.
Two ther examples of the ones I don't understand are 2x-3y=6 and also 3x+4y=12
thank you so much in advance.

Click here to see answer by MathTherapy(10552) About Me 

Question 1129389: Find k so that the line through (7,2k) and (4,-3) is parallel to the line through (1, k+1) and (3,5)
Click here to see answer by solver91311(24713) About Me 
Question 1129389: Find k so that the line through (7,2k) and (4,-3) is parallel to the line through (1, k+1) and (3,5)
Click here to see answer by MathLover1(20849) About Me 

Question 1129399: Find the x-intercept on the graph of the line y=3x+6
Click here to see answer by MathLover1(20849) About Me 

Question 1129398: Write the equation in slope-intercept form: 3x+2y=7
Click here to see answer by MathLover1(20849) About Me 

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