SOLUTION: Solve each system by any method. show work or grapg. Y=2x-6 Y=-2x+2

Question 430925: Solve each system by any method. show work or grapg.
Y=2x-6
Y=-2x+2
Found 2 solutions by josmiceli, htmentor:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
Add the equations

divide both sides by

Now plug this result back into either (1) or (2)
(1)
Add to both sides

Divide both sides by

The solution is (2,-2). Here' the plot:

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
y=2x-6 (1)
y=-2x+2 (2)
The easiest way to solve this system is by adding equation (1) to equation (2).
The x terms cancel and we are left with:
2y = -4
Solving for y gives y = -2
Substitute this value back into one of the original equations:
-2 = 2x - 6 -> 2x = 4 -> x = 2
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