Answer
$x = -\frac{1}{5}$
$y = \frac{19}{5}$
Work Step by Step
Equations:
$x - y = -4$
$3x +2y = 7$
Making the equations into an equivalent system:
$2(x - y)= 2( -4)$
$3x +2y = 7$
$2x - 2y = -8$
$3x +2y = 7$
Add the equations together to eliminate $y$, then solve for $x$:
$2x - 2y = -8$
$+$
$3x +2y = 7$
$5x = -1$
$x = -\frac{1}{5}$
Substituting $x$ into the first equation to solve for $y$:
$x - y = -4$
$-\frac{1}{5} - y = -\frac{20}{5}$ (Make -4 a fraction to add $x$ which is a fraction)
$-y = -\frac{19}{5}$
$y = \frac{19}{5}$
