#### Answer

$\{(-4,1)\}$

#### Work Step by Step

1. The second equation has 1 as a coefficient of y. solve it for y.
$y=x+5$
2. Substitute $(x+5)$ for y in the other equation and solve.
$4x+3(x+5)=-13$
$4x+3x+15=-13\qquad-15$
$7x=-28\qquad\div 7$
$x=-4$
3. Back-substitute into the expression of y (step 1).
$y=(-4)+5=1$
4. Write the solution as an ordered pair.
Solution set: $\{(-4,1)\}$