Answer
$\{(3,-4)\}$
Work Step by Step
1. Express $x$ from the first equation (solve for x).
$-2x=6y+18\qquad/\div(-2)$
$x=-3y-9$
2. Substitute $x$ in the other equation and solve.
$-29=5y-3(-3y-9)$
$-29=5y+9y+27\qquad /-27$
$-56=14y\qquad/\div 14$
$-4=y$
$y=-4$
3. Back-substitute into the expression of $x$ (step 1).
$x=-3(-4)-9=12-9=3$
4. Write the solution as an ordered pair.
Solution set: $\{(3,-4)\}$