Problem

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\[
\begin{array}{c}
-x-6 y=51 \\
-x+10 y=-109
\end{array}
\]
Answer
Subtract to eliminate $\mathbf{x}$.
Add to eliminate $\mathbf{y}$.
Subtract to eliminate $\mathbf{y}$.
Add to eliminate $\mathbf{x}$.
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Answer

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Answer

Final Answer: \(\boxed{\text{Add to eliminate } x}\)

Steps

Step 1 :The system of equations is already set up in a way that makes it easy to eliminate x. If we add the two equations together, the x terms will cancel out, leaving us with an equation in terms of y. This seems like the correct first step.

Step 2 :The equations are added together to eliminate x, resulting in a new equation in terms of y. The solution for y is -29/2. This confirms that the correct first step to solve the system of equations is to add the two equations together to eliminate x.

Step 3 :Final Answer: \(\boxed{\text{Add to eliminate } x}\)

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