Question

Need help Solving math problem4x+24y=-448y=-7x-5

Answer 1

We need to solve the system of equations:

$\begin{gathered} 4x+24y=-448 \\ \\ y=-7x-5 \end{gathered}$

So, we can substitute y in the first equation with the expression for y given in the second equation.

We obtain:

$\begin{gathered} 4x+24(-7x-5)=-448 \\ \\ 4x-168x-120=-448 \\ \\ -164x=-448+120 \\ \\ -164x=-328 \\ \\ x=\frac{-328}{-164} \\ \\ x=2 \end{gathered}$

Now, we can use the previous result to find y:

$\begin{gathered} y=-7(2)-5 \\ \\ y=-14-5 \\ \\ y=-19 \end{gathered}$

Therefore, the solution is:

$\begin{gathered} \mathbf{x=2} \\ \mathbf{y=-19} \end{gathered}$