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

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

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

The graph is as follows:

`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.)

Easy to understand math videos:

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