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

User Rafaelncarvalho
by
2.8k points

1 Answer

8 votes
8 votes

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=(-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}

User Don Giulio
by
2.5k points
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