Once again, we graph the 2 lines and the intersection point gives the solution for the simultaneous equations.

6x − 3y = −12 has x-intercept `-2`, and y-intercept `4`.

−2x + y = 4 has x-intercept `-2`, and y-intercept `4`.

The graph is as follows:

2 4 6 8 -2 -4 2 4 6 8 x y
`6x-3y=-12`
`-2x+y=4`

Graph of the linear equations `6x-3y=-12` and `-2x+y=4`.

We see the lines are identical. So the solution for the system (from the graph) is:

"all values of (x, y) on the line `2x-y=-4`".

(We normally write equations in normal form with a positive infront of the x term.)

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