Answer :
We are given the following equation:
[tex]-4x-y=24[/tex]We are told that that part of the solution is:
[tex](x,y)=(-,8)[/tex]Since we are given the value of "y", we can replace this value in the given equation:
[tex]-4x-8=24[/tex]Now we solve for "x", first by adding 8 on both sides:
[tex]\begin{gathered} -4x-8+8=24-8 \\ -4x=16 \end{gathered}[/tex]Now we divide both sides by -4
[tex]x=\frac{16}{-4}=-4[/tex]Therefore the complete solution is:
[tex](x,y)=(-4,8)[/tex]