Solve the system graphically: x−2y=6 3x+2y=−6

First, you need to make each equation y=mx+b

x-2y=6 Subtract x on both sides
-2y=-x+6 Divide -2 in both sides
y=-x-3

Now do the other equation

3x+2y=-6 Subtract 3x on both sides
2y=-3x-6 Divide 2 both sides
y=-3x-3

Now when graphing, you plot the y-intercept.

y=-x-3 The y-intercept is -3 ~ (0,-3)
The slope is -1 ~ (down 1, left 1)

Repeat for the next equation

y=-3x-3 Y-intercept is -3 ~ (0,-3)
Slope is -3 ~ (down 3, left 1)

Now graph and look for the point of intersection, that is your solution.

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Good luck!