#### Answer

$\{(-7,5)\}$

#### Work Step by Step

1. y has opposite signs in the equations.
Multiplying the first equation by $2$ will eliminate y.
$\left\{\begin{array}{lll}
8x & +2y & =-46\\
x & -2y & =-17
\end{array}\right.$
2. ... add the equations and solve
$9x=-63\qquad/\div 9$
$x=-7$
3. Back-substitute into one of the initial equations
$4x+y=-23$
$4(-7)+y=-23$
$-28+y=-23\qquad/+28$
$y=5$
4. Write the solution as an ordered pair.
Solution set: $\{(-7,5)\}$