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!