In order to solve this system by multiplying first, let's multiply the first equation by -4. This way, we can add both equations and cancel the variable x:
[tex]\begin{gathered} \begin{cases}x+3y=-13 \\ 4x+5y=-17\end{cases} \\ \begin{cases}-4x-12y=52 \\ 4x+5y=-17\end{cases} \\ -4x-12y+4x+5y=52-17 \\ -7y=35 \\ y=-5 \\ \\ x-3\cdot5=-13 \\ x-15=-13 \\ x=2 \end{gathered}[/tex]
So the value of x is 2 and y is -5, therefore the ordered pair is (2, -5).
