#### Answer

$\{(8,-5)\}$

#### Work Step by Step

1. The second equation has 1 as a coefficient of $x$. solve it for $x$.
$x=y+13$
2. Substitute $x$ in the other equation and solve.
$3(y+13)+4y=4$
$3y+39+4y=4 \qquad/ -39$
$7y=-35 \qquad / \div 7$
$y=-5$
3. Back-substitute into the expression of y (step 1).
$x=(-5)+13=8$
4. Write the solution as an ordered pair.
Solution set: $\{(8,-5)\}$