A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[-9x-4y=-50],[x-4y=10]:} Subtract to eliminate x. Subtract to eliminate y. Add to eliminate y. Add to eliminate x.

Identify Variable to Eliminate: To determine which variable to eliminate, we look at the coefficients of x and y in both equations. The system of equations is: {:[-9x-4y=-50],[x-4y=10]:} We can see that the coefficient of y in both equations is the same (-4), but the coefficients of x are different. To eliminate y, we can add the two equations together because the y terms will cancel out.Add Equations to Eliminate Variable: Perform the addition of the two equations to eliminate y: (-9x - 4y) + (x - 4y) = -50 + 10 Combining like terms, we get: -9x + x = -8x -4y - 4y = 0 (y terms cancel out) -50 + 10 = -40 So, the resulting equation after adding is: -8x = -40Solve for x: Now, we can solve for x by dividing both sides of the equation by -8: -8x / -8 = -40 / -8 x = 5

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

{:[-9x-4y=-50],[x-4y=10]:}
Subtract to eliminate
x.
Subtract to eliminate
y.
Add to eliminate
y.
Add to eliminate
x.

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. $\newline$ $\begin{aligned} -9 x-4 y & =-50 \\ x-4 y & =10 \end{aligned}$ $\newline$ Subtract to eliminate $\mathbf{x}$ . $\newline$ Subtract to eliminate $\mathbf{y}$ . $\newline$ Add to eliminate $\mathbf{y}$ . $\newline$ Add 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{aligned} -9 x-4 y & =-50 \\ x-4 y & =10 \end{aligned}

\newline

Subtract to eliminate

\mathbf{x}

\newline

Subtract to eliminate

\mathbf{y}

\newline

Add to eliminate

\mathbf{y}

\newline

Add to eliminate

\mathbf{x}

Identify Variable to Eliminate: To determine which variable to eliminate, we look at the coefficients of $x$ and $y$ in both equations. The system of equations is: $\newline$ $\begin{cases} -9x-4y=-50 \ x-4y=10 \end{cases}$ $\newline$ We can see that the coefficient of $y$ in both equations is the same ( $-4$ ), but the coefficients of $x$ are different. To eliminate $y$ , we can add the two equations together because the $y$ terms will cancel out.
Add Equations to Eliminate Variable: Perform the addition of the two equations to eliminate $y$ : $(-9x - 4y) + (x - 4y) = -50 + 10$ Combining like terms, we get: $-9x + x = -8x$ $-4y - 4y = 0$ ( $y$ terms cancel out) $-50 + 10 = -40$ So, the resulting equation after adding is: $-8x = -40$
Solve for x: Now, we can solve for $x$ by dividing both sides of the equation by $-8$ : $\frac{-8x}{-8} = \frac{-40}{-8}$ $x = 5$