Answer:
[tex]\left \{ {y\:=\:-3,} \atop {x\:= \:4}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{y=-\frac{1}{2}x-1} \atop {y=\frac{1}{4}x-4}} \right.[/tex]
Solving by substitution:
[tex]\mathrm{Substitute\:}y=\frac{1}{4}x-4[/tex]
[tex]\begin{bmatrix}\frac{1}{4}x-4=-\frac{1}{2}x-1\end{bmatrix}[/tex]
[tex]x=4[/tex]
[tex]\mathrm{Substitute\:}x=4[/tex]
[tex]y=\frac{1}{4}\cdot \:4-4[/tex]
[tex]y=-3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=-3,\:x=4[/tex]
