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

2x − 3y = −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:

1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 1 2 3 4 5 6 7 8 9 10 -1 -2 x y (3,4)
`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)`.