Answer
$x = 1$
$ y = -2$
Work Step by Step
$3x + 4y - (-5) $
$2x -3y -8$
Rearrange
$3x + 4y = -5 $ -> equation 1
$2x -3y = 8$ -> equation 2
Multiply equation 1 by number the 2 and multiply equation 2 by number the 3
$(3x + 4y = -5) \times 2$
$(2x -3y = 8) \times 3$
$6x + 8y = -10$
$6x -9y = 24$
subtract
$6x + 8y = -10$
- $6x -9y = 24$
$=0 + 17y = - 34$
$ y = -\frac{34}{17}$
$ y = -2$
Replace y in equation 1
$(3x + (4 \times-2) = -5 $
$= 3x - 8 = -5$
$= 3x = -5 +8 $
$ =3x = 3$
$x = 1$