SOLUTION: 2x+3y=8 x+2y=5 Can someone please help solve this two part equation using the elimination method?

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Question 375052: 2x+3y=8
x+2y=5
Can someone please help solve this two part equation using the elimination method?

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Multiply the bottom eqn by -2: -2x - 4y = -10.
Add corresponding sides: 3y + (-4y) = 8+(-10)
-y = -2, or y = 2. Substitute into the bottom eqn;
x + 2*2 = 5, or x + 4 = 5, or x = 1.

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