Question

Find the solution to the system of equations.

Answer 1

`(-2,-5)`

Explanation:

`\begin{bmatrix}y=-4x-3\\ y=-2x+1\end{bmatrix}`

`\mathrm{Substitute\:}y=-2x+1`

`\begin{bmatrix}-2x+1=-4x-3\end{bmatrix}`

Isolate x for -2+1=-4x-3: x=-2

`\mathrm{For\:}y=-2x+1`

`\mathrm{Substitute\:}x=-2`

`y=-2\left(-2\right)+1`

`-2(-2)+1=5`
`4+1=5`

`y=5`