A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[10 x-8y=-12],[4x+8y=96]:} Add to eliminate x. Subtract to eliminate y. Add to eliminate y. Subtract to eliminate x.

Given System of Equations: We are given the system of equations: \[ \begin{cases} 10x - 8y = -12 \\ 4x + 8y = 96 \end{cases} \] To eliminate a variable, we look for coefficients that are opposites or can be made into opposites. Here, the coefficients of $y$ are $ -8 $ and $ 8 $, which are already opposites. Therefore, we can add the two equations to eliminate $y$.Eliminate Variable: Adding the two equations: \[ (10x - 8y) + (4x + 8y) = -12 + 96 \] \[ 10x + 4x = 84 \] This step is just the setup for the addition and does not involve any calculations yet.

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A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.

{:[10 x-8y=-12],[4x+8y=96]:}
Add to eliminate
x.
Subtract to eliminate
y.
Add to eliminate
y.
Subtract to eliminate
x.

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. $\newline$ $\begin{array}{c} 10 x-8 y=-12 \\ 4 x+8 y=96 \end{array}$ $\newline$ Add to eliminate $\mathbf{x}$ . $\newline$ Subtract to eliminate $\mathbf{y}$ . $\newline$ Add to eliminate $\mathbf{y}$ . $\newline$ Subtract to eliminate $\mathbf{x}$ .

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Q. A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.

\newline

\begin{array}{c} 10 x-8 y=-12 \\ 4 x+8 y=96 \end{array}

\newline

Add to eliminate

\mathbf{x}

\newline

Subtract to eliminate

\mathbf{y}

\newline

Add to eliminate

\mathbf{y}

\newline

Subtract to eliminate

\mathbf{x}

Given System of Equations: We are given the system of equations: $\newline$ $\begin{cases} 10x - 8y = -12 \\ 4x + 8y = 96 \end{cases}$ $\newline$ To eliminate a variable, we look for coefficients that are opposites or can be made into opposites. Here, the coefficients of $y$ are $-8$ and $8$ , which are already opposites. Therefore, we can add the two equations to eliminate $y$ .
Eliminate Variable: Adding the two equations: $\newline$ $(10x - 8y) + (4x + 8y) = -12 + 96$ $\newline$ $10x + 4x = 84$ $\newline$ This step is just the setup for the addition and does not involve any calculations yet.