Question

Solve the system of equations.
– 3y + 5x = 26
- 2 - 5x = -16

Answer 1

`y=-4,\:x=(14)/(5)`

Explanation:

`\begin{bmatrix}-3y+5x=26\\ -2-5x=-16\end{bmatrix}`

Isolate x for -2-5x=-16:

`x=(14)/(5)`

`\mathrm{Substitute\:}x=(14)/(5)`

`\begin{bmatrix}-3y+5\cdot (14)/(5)=26\end{bmatrix}`

`Simplify`

`\begin{bmatrix}-3y+14=26\end{bmatrix}`

Isolate y for -3y+14=26:

`y=-4`

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

`y=-4,\:x=(14)/(5)`