Problem

Solve the following system of equations.
\[
\begin{array}{l}
x-3 y=17 \\
x+7 y=-23
\end{array}
\]
\[
\begin{array}{l}
x= \\
y=
\end{array}
\]

Answer

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Answer

\(x = 5\)

Steps

Step 1 :\(x = 3y + 17\)

Step 2 :\(3y + 17 + 7y = -23\)

Step 3 :\(10y = -40\)

Step 4 :\(y = -4\)

Step 5 :\(x = 3(-4) + 17\)

Step 6 :\(x = -12 + 17\)

Step 7 :\(x = 5\)

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