Answer:
[tex]x=-1,\:y=-1[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-6x+5y=1\\ 6x+4y=-10\end{bmatrix}[/tex]
[tex]\mathrm{Add\:the\:equations}[/tex]
[tex]6x+4y=-10[/tex]
[tex]+[/tex]
[tex]\underline{-6x+5y=1}[/tex]
[tex]9y=-9[/tex]
[tex]\begin{bmatrix}-6x+5y=1\\ 9y=-9\end{bmatrix}[/tex]
Solve 9y=-9 for y: y=-1
[tex]\mathrm{For\:}-6x+5y=1\mathrm{\:plug\:in\:}y=-1[/tex]
Solve -6x+5(-1)=1 for x: x=-1
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-1,\:y=-1[/tex]
