Find the solution to the system of equations.

Answer:
[tex](-2,-5)[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=-4x-3\\ y=-2x+1\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-2x+1[/tex]
[tex]\begin{bmatrix}-2x+1=-4x-3\end{bmatrix}[/tex]
Isolate x for -2+1=-4x-3: x=-2
[tex]\mathrm{For\:}y=-2x+1[/tex]
[tex]\mathrm{Substitute\:}x=-2[/tex]
[tex]y=-2\left(-2\right)+1[/tex]
[tex]-2(-2)+1=5[/tex][tex]4+1=5[/tex]
[tex]y=5[/tex]