Question

Solve the system of equations. 2y + 77 = -5 5y – 7x = 12 72​

Answer 1

`y=-41,\:x=-211`

Explanation:

`\begin{bmatrix}2y+77=-5\\ 5y-7x=1272\end{bmatrix}`

Isolate y for 2y+77=-5:

`y=-41`

`\mathrm{Substitute\:}y=-41`

`\begin{bmatrix}5\left(-41\right)-7x=1272\end{bmatrix}`

`Simplify`

`\begin{bmatrix}-205-7x=1272\end{bmatrix}`

Isolate x for -205-7x=1272

`x=-211`

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

`y=-41,\:x=-211`