A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[-7x+9y=12],[-7x-7y=-84]:} Subtract to eliminate y. Add to eliminate x. Add to eliminate y. Subtract to eliminate x.

Identify Coefficients: To determine the correct first step to eliminate a variable, we need to look at the coefficients of x and y in both equations. The system of equations is: {-7x + 9y = 12, -7x - 7y = -84} We can see that the coefficient of x is the same in both equations (-7). To eliminate x, we can add the two equations together.Add Equations: Let's add the two equations to see if x is eliminated: (-7x + 9y) + (-7x - 7y) = 12 + (-84) -7x - 7x + 9y - 7y = 12 - 84 -14x + 2y = -72 This step does not eliminate x; instead, it combines the x terms. This is not the correct approach to eliminate x.

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

{:[-7x+9y=12],[-7x-7y=-84]:}
Subtract to eliminate
y.
Add to eliminate
x.
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. $\newline$ $\begin{array}{l} -7 x+9 y=12 \\ -7 x-7 y=-84 \end{array}$ $\newline$ Subtract to eliminate $\mathbf{y}$ . $\newline$ Add to eliminate $\mathbf{x}$ . $\newline$ Add to eliminate $\mathbf{y}$ . $\newline$ Subtract to eliminate $\mathbf{x}$ .

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Grade 7

One-step inequalities: word problems

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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}{l} -7 x+9 y=12 \\ -7 x-7 y=-84 \end{array}

\newline

Subtract to eliminate

\mathbf{y}

\newline

Add to eliminate

\mathbf{x}

\newline

Add to eliminate

\mathbf{y}

\newline

Subtract to eliminate

\mathbf{x}

Identify Coefficients: To determine the correct first step to eliminate a variable, we need to look at the coefficients of $x$ and $y$ in both equations. The system of equations is: $\newline$ $\begin{cases} -7x + 9y = 12, \ -7x - 7y = -84 \end{cases}$ $\newline$ We can see that the coefficient of $x$ is the same in both equations ( $-7$ ). To eliminate $x$ , we can add the two equations together.
Add Equations: Let's add the two equations to see if $x$ is eliminated: $\newline$ $(-7x + 9y) + (-7x - 7y) = 12 + (-84)$ $\newline$ $-7x - 7x + 9y - 7y = 12 - 84$ $\newline$ $-14x + 2y = -72$ $\newline$ This step does not eliminate $x$ ; instead, it combines the $x$ terms. This is not the correct approach to eliminate $x$ .