#### Answer

$\{(1,3)\}$

#### Work Step by Step

1. The second equation has 1 as a coefficient of y. Solve it for y.
$y=5-2x$
2. Substitute y in the other equation and solve.
$4x-5(5-2x)=-11$
$4x-25+10x=-11\qquad/+25$
$14x=14\qquad/\div 14$
$x=1$
3. Back-substitute into the expression of y (step 1).
$y=5-2(1)=3$
4. Write the solution as an ordered pair.
Solution set: $\{(1,3)\}$