SOLUTION: 3x-2y=4 2x-y=5

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Question 288829: 3x-2y=4
2x-y=5

Answer by brucewill(101) About Me  (Show Source):
You can put this solution on YOUR website!
3x - 2y = 4
2x - y = 5
You need to eliminate one of the varaibles. In this case, Multiply the second equation by 2, for the following:
3x - 2y = 4
4x - 2y = 10
Subtract the first statement from the second
highlight%28x+=+6%29
Now, substitute back into either equation: (I choose the first)
3(6) - 2y = 4 subtract 18 from both sides
-2y = -14 Now divide both sides by -2
highlight%28y+=+7%29
To prove it, substitute back into both equations:
3(6) - 2(7) = 4
18 - 14 = 4. correct.
2(6) - 7 = 5
12 - 7 = 5. correct.