Question

-6x+5y=1
6x+4y=-10
solve using system of equation elimination

Answer 1

`x=-1,\:y=-1`

Explanation:

`\begin{bmatrix}-6x+5y=1\\ 6x+4y=-10\end{bmatrix}`

`\mathrm{Add\:the\:equations}`

`6x+4y=-10`

`+`

`\underline{-6x+5y=1}`

`9y=-9`

`\begin{bmatrix}-6x+5y=1\\ 9y=-9\end{bmatrix}`

Solve 9y=-9 for y: y=-1

`\mathrm{For\:}-6x+5y=1\mathrm{\:plug\:in\:}y=-1`

Solve -6x+5(-1)=1 for x: x=-1

`\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}`

`x=-1,\:y=-1`