Solve the following linear system

5*x + y* = 27

*y* = 3*x* – 13

*x* = *y* =

In order to solve this, we can plug y into the first equation and solve

5*x* + (3*x* – 13) = 27

5*x* + 3*x* – 13 = 27

8*x* = 40

*x* = 5

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

*y* = 3(5) – 13

*y* = 15 – 13

*y* = 2