Solve using elimination. –x − 4y = –6 x − 4y = 14 (_____, _____)

Write Equations: Write down the system of equations. –x − 4y = –6 x − 4y = 14Add Equations: Add the two equations together to eliminate the variable x. (–x − 4y) + (x − 4y) = (–6) + (14) The x terms cancel each other out, and we are left with: –4y − 4y = 8Combine Terms: Combine like terms. –8y = 8Solve for y: Solve for y by dividing both sides by –8. y = 8 / (–8) y = –1Substitute and Solve: Substitute y = –1 into one of the original equations to solve for x. We can use the second equation. x − 4(–1) = 14 x + 4 = 14Solve for x: Solve for x by subtracting 4 from both sides. x = 14 − 4 x = 10Write Ordered Pair: Write the solution as an ordered pair. The solution to the system of equations is (10, –1).

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Solve using elimination. $\newline$ $-x - 4y = -6$ $\newline$ $x - 4y = 14$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-x - 4y = -6

\newline

x - 4y = 14

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $-x - 4y = -6$ $\newline$ $x - 4y = 14$
Add Equations: Add the two equations together to eliminate the variable $x$ .( $-x - 4y$ + $x - 4y$ = $-6$ + $14$ \)The $x$ terms cancel each other out, and we are left with: $-4$ y - $4$ y = $8$ \)
Combine Terms: Combine like terms. $\newline$ $-8y = 8$
Solve for y: Solve for y by dividing both sides by $–8$ . $y = \frac{8}{(–8)}$ $y = –1$
Substitute and Solve: Substitute $y = -1$ into one of the original equations to solve for $x$ . We can use the second equation. $\newline$ $x - 4(-1) = 14$ $\newline$ $x + 4 = 14$
Solve for x: Solve for x by subtracting $4$ from both sides. $\newline$ $x = 14 - 4$ $\newline$ $x = 10$
Write Ordered Pair: Write the solution as an ordered pair. $\newline$ The solution to the system of equations is $(10, -1)$ .