Solve the following linear system

*x* – 2*y* = -6

2*x* + 3*y* = 2

*x* = *y* =

We can first solve for *x* in the first equation, then plug it into the second one to solve for *y*.

*x* – 2*y* = -6

*x* = 2*y* – 6

2(2*y* – 6) + 3*y* = 2

4*y* – 12 + 3*y* = 2

7*y *= 14

*y* = 2

Now we can plug in *y* into either equation and solve for *x*.

*x* – 2(2) = -6

*x* = -2