SOLUTION: solve for x and y for the following equations using elimination method: 0.5x + 2y = 9 4x - 15y = 2

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Question 270859: solve for x and y for the following equations using elimination method:
0.5x + 2y = 9
4x - 15y = 2

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
.5x%2B2y=9 multiply this equation by -8 to solve for y
4x-15y=2
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.5x%28-8%29%2B2%28-8%29y=9%28-8%29
4x-15y=2
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-4x-16y=-72
4x-15y=2add together
______________
-31y=-70
highlight%28y=70%2F31%29
______________
.5x%2B2y=9
x%2B4y=18
x=18-4y
x=18-4%2870%2F31%29
x=%28558%2F31%29-%28280%2F31%29
highlight%28x=278%2F31%29