SOLUTION: Please help me solve this linear system by using the elimination method. x

SOLUTION: Please help me solve this linear system by using the elimination method. x - 2y = 6 2x + y = 4

Question 19092: Please help me solve this linear system by using the elimination method.
x - 2y = 6
2x + y = 4
Answer by wuwei96815(245) (Show Source): You can put this solution on YOUR website!
Multiply the first equation by -2 and then add the two equations together:
-2(x -2y = 6) yields -2x + 4y = -12
(-2x + 4y = -12) + (2x + y = 4) yields 5y = -8
Solve for y:
5y = -8
y = -8/5

Multiply the second equation by 2 and then add the two equations together:
2(2x + y = 4) yields 4x +2y = 8
(x-2y=6) + (4x+2y=8) yields 5x = 14
Solve for x:
5x = 14
x = 14/5

To check these answers substitute them into the original equations.
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