SOLUTION: How do you turn this equasion into y=mx+b for graphing? 3x+-2y=2 -2x+y=8 With an answer of (-18,-28)

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Question 678292: How do you turn this equasion into y=mx+b for graphing?
3x+-2y=2
-2x+y=8
With an answer of (-18,-28)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with 3x + -2y = 2
Isolate the y
3x + - 2y + 2y = 2 + 2y
3x = 2 + 2y
3x - 2 = 2 + 2y - 2
3x - 2 = 2y
Divide the entire equation by 2
y = %283%2F2%29x+-+2%2F2
highlight%28y+=+%283%2F2%29x-1%29
...
Starting with -2x + y = 8
-2x + y + 2x = 8 + 2x
highlight_green%28y=2x%2B8%29
...
Setting the quations equal,
%283%2F2%29x+-+1+=+2x+%2B+8
Multiply the entire equation by 2
3x - 2 = 4x + 16
Isolate the x on one side of the equation
3x - 2 - 3x - 16 = 4x + 16 - 16 - 3x
-18 = x
...
Using x equals -18, solve for y in either of the equations
y = 2(-18)+8 = -36 + 8 = -28
...
(-18, -28)
...
graph%28300%2C200%2C-20%2C1%2C-30%2C1%2C%283%2F2%29x-1%2C+2x%2B8%29
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