3x+ 2y = -6 ...........(1)

x + 3y = -2 ..............(2)

First we will solve algebraically.

Multiply (2) by -3 and add to (1).

==> 3x + 2y = -6

==> -3x -9y = 6

==> -7y = o ==> y= 0

==> 3x = -6 ==> x = -2

Then, the solution is the point (-2,0)

Now we will verify by graphing both lines.

3x+2y = -6 ( black line)

x+ 3y = -2  (red line)

You can see that both lines intersects at the point (-2, 0) which is the solution of the system.