Question 68734: y=2x
x+y=12
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! y=2x
x+y=12
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y=2x
x+y=12 [solve for y so that both equations match]
y=-x+12
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y=2x
(2)(y=-x+12) [multiply by a number that will cause the cancellation of a variable]
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1y=2x
2y=-2x+24
_________
3y=24 [solve for y]
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3y/3=24/3
y=8
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Solve for x
y=2x [let y=8]
8=2x
8/2=2x/2
4=x
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check by plugging x=4 and y=8 back into the original equations
y=2x
8=2(4)
8=8 [checks out]
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x+y=12
(4)+(8)=12
12=12 [also checks out]
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