Solve the system of equations. {:[11 x+4y=-46],[7x-4y=10],[x=◻],[y=◻]:}

Identify variable to eliminate: Identify the variable to eliminate. In this case, we can eliminate 'y' as the coefficients are the same in magnitude but opposite in sign.Identify operation to eliminate variable: Identify the operation to eliminate the variable. Here, we add the equations as the coefficients of 'y' are opposite.Add equations to eliminate variable: Add the equations to eliminate 'y'. (11x + 4y) + (7x - 4y) = -46 + 10 11x + 4y + 7x - 4y = -36 18x = -36Solve for x: Solve for 'x'. Dividing both sides of the equation by 18 gives us x = -36 / 18. x = -2Substitute x into equation to solve for y: Substitute x = -2 into one of the original equations to solve for 'y'. Let's use the first equation: 11x + 4y = -46. 11(-2) + 4y = -46 -22 + 4y = -46Solve for y: Solve for 'y'. Add 22 to both sides of the equation to isolate the term with 'y'. 4y = -46 + 22 4y = -24 Divide both sides by 4 to find 'y'. y = -24 / 4 y = -6Write the solution as a coordinate pair: Write the solution as a coordinate pair. The solution is (-2, -6).

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Solve the system of equations.

{:[11 x+4y=-46],[7x-4y=10],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} 11 x+4 y=-46 \\ 7 x-4 y=10 \\ x=\square \\ y=\square \end{array}$

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Algebra 2

Solve a system of equations using elimination

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Q. Solve the system of equations.

\newline

\begin{array}{l} 11 x+4 y=-46 \\ 7 x-4 y=10 \\ x=\square \\ y=\square \end{array}

Identify variable to eliminate: Identify the variable to eliminate. In this case, we can eliminate ' $y$ ' as the coefficients are the same in magnitude but opposite in sign.
Identify operation to eliminate variable: Identify the operation to eliminate the variable. Here, we add the equations as the coefficients of ' $y$ ' are opposite.
Add equations to eliminate variable: Add the equations to eliminate $y$ . $(11x + 4y) + (7x - 4y) = -46 + 10$ $11x + 4y + 7x - 4y = -36$ $18x = -36$
Solve for x: Solve for 'x'. Dividing both sides of the equation by $18$ gives us $x = -\frac{36}{18}$ . $\newline$ $x = -2$
Substitute $x$ into equation to solve for $y$ : Substitute $x = -2$ into one of the original equations to solve for ' $y$ '. Let's use the first equation: $11x + 4y = -46$ .
$11(-2) + 4y = -46$
$-22 + 4y = -46$
Solve for y: Solve for $y$ . Add $22$ to both sides of the equation to isolate the term with $y$ . $\newline$ $4y = -46 + 22$ $\newline$ $4y = -24$ $\newline$ Divide both sides by $4$ to find $y$ . $\newline$ $y = -24 / 4$ $\newline$ $y = -6$
Write the solution as a coordinate pair: Write the solution as a coordinate pair. $\newline$ The solution is $(-2, -6)$ .