Answer
$x=-4,\,y=1$
The solution of the system is the ordered pair $(-4, 1)$
Work Step by Step
Let's note the equations:
$4x+3y=-13\,\,\,\,\,\, (1)$
$-x+y=5\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)$
We wil use the Substitution Method.
Solving equation $(2)$ for $y$, we get
$y=x+5$
Replace $y$ by $x+5$ in equation $(1)$
Then, we have
$4x+3(x+5)=-13$
Or
$4x+3x+15=-13$
$\implies 7x=-28$
Or $x=\frac{-28}{7}=-4$
$y=x+5=-4+5=1$
The solution of the system is the ordered pair $(-4, 1)$.
