Problem

Solve the system of equations by graphing.
\[
\begin{array}{l}
x-y=7 \\
x+y=-1
\end{array}
\]

Answer

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Answer

\(\boxed{x=3, y=-4}\)

Steps

Step 1 :\(x-y=7\) and \(x+y=-1\)

Step 2 :Add the two equations: \(2x = 6\)

Step 3 :Divide by 2: \(x = 3\)

Step 4 :Substitute x into the first equation: \(3-y=7\)

Step 5 :Subtract 3: \(-y=4\)

Step 6 :Multiply by -1: \(y=-4\)

Step 7 :\(\boxed{x=3, y=-4}\)

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