System

First we list the two equations.

$x + 3y = -4$                    (1)

$3x - 7y = 36 + 5x - 2y$ we must simplify the second equation to get:

$-2x - 5y = 36$               (2)

Now we have a system of equations that looks much nicer. On to the math:

First we multiply equation(1) by -2 to get:

$-2x - 6y = 8$                  (3) We will call this equation 3 for the sake of clarity.

Next we subtract equation(3) from equation(2) to cancel out variable x.

$-2x - 5y - (-2x - 6y) = 36 - 8$ This simplifies to:

$y = 28$

Now we can plug the value of $y$ back into equation(1) to get $x$:

$x + 84 = -4$ Then we subtract 84 from both sides of the equation to get x:

$x = -88$

Now we have the ordered pair of (x,y)

$x = -88$

$y = 28$