Given the system of equations:
[tex]\begin{gathered} 2x+3y=-7 \\ -5x-7y=17 \end{gathered}[/tex][tex]\begin{gathered} 2x+3y=-7 \\ -5x-7y=17 \\ 7(2x+3y=-7) \\ 3(-5x-7y=-17) \\ 14x+21y=-49 \\ -15x-21y=51 \\ -x=2=\div x=-2 \\ Use\text{ x to find y} \\ (2)(-2)=3y=-7 \\ 3y-4=-7 \\ 3y-4+4=-7+4 \\ -7+4=-3 \\ 3y=-3=\div3=y=-1 \\ x=-2,y=-1 \end{gathered}[/tex]x = -2 & y = -1
