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I need to use substitution to solve each system of equations then, putting it into ordered pairs ( please ignore faded numbers under)

I need to use substitution to solve each system of equations then, putting it into-example-1

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Given the system


\begin{gathered} x+2y=13 \\ 3x-5y=6 \end{gathered}

We clear x in the first equation


\begin{gathered} x+2y-2y=13-2y \\ x=13-2y \end{gathered}

And substitute in the second equation and simplify


\begin{gathered} 3(13-2y)-5y=6 \\ 39-6y-5y=6 \\ 39-11y=6 \end{gathered}

Solve for y


\begin{gathered} 39-11y-39=6-39 \\ -11y=-33 \\ (-11y)/(-11)=(-33)/(-11) \\ y=3 \end{gathered}

Next, substitute y = 3 in x


x=13-2(3)=13-6=7

Answer: ordered pairs is (7,3)

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