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

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

*x *+* y *= 7 has *x*-intercept `7`
and has *y*-intercept `7`.

The graph is as follows:

`2x - 3y = -6`

`x + y = 7`

Graphs of `y = (2x+6)/3` and `y=-x+7`.

So we see there is **one solution** for the system (from the graph), and it is `(3, 4)`.