SOLUTION: Graph these following system of equations 3x – 4y = 32 5x + 2y = 10

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Question 541533: Graph these following system of equations
3x – 4y = 32
5x + 2y = 10
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
To graph the equations, it is best to get them into slope-intercept form.
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3x -4y = 32
-4y = -3x +32
y = 3/4*x -8
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(0,-8)
(32/3,0)
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5x +2y = 10
2y = -5x +10
y = -5/2*x +5
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(0,5)
(2,0)
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+graph%28500%2C500%2C-12%2C12%2C-12%2C12%2C3%2F4%2Ax-8%2C-5%2F2%2Ax%2B5%29+
.
To check, you can solve the system of equations.
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3x -4y = 32
5x +2y = 10
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Multiply the second equation by 2 and then add them.
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3x -4y = 32
10x +4y = 20
-------------- add
13x = 52
x = 52/13 = 4
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3(4)-4y = 32
-4y = 20
y =-5
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5(4) +2(-5) = 10 ??
20 -10 = 10
Correct.
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So, the lines intersect at (4,-5). You can check the graph to see if this is correct.