Answer:
x=-6, y=12
Explanation:
Given the system of linear equations:
[tex]\begin{gathered} -4x-6y=-48 \\ y=-2x \end{gathered}[/tex]Substitute y =-2x into the first equation.
[tex]\begin{gathered} -4x-6y=-48 \\ -4x-6(-2x)=-48 \end{gathered}[/tex]Solve the equation for x.
[tex]\begin{gathered} -4x+12x=-48 \\ 8x=-48 \\ x=-\frac{48}{8} \\ x=-6 \end{gathered}[/tex]Next, we solve for y.
[tex]\begin{gathered} y=-2x \\ =-2(-6) \\ y=12 \end{gathered}[/tex]The solution to the equation is x=-6 and y=12.
