Solve using elimination. –8x + 8y = –16 7x − 8y = 9 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. –8x + 8y = –16 7x − 8y = 9Add Equations: Add the two equations together to eliminate the y variable. (–8x + 8y) + (7x − 8y) = (–16) + 9Find x: Perform the addition to find the value of x. –8x + 7x = –16 + 9 –1x = –7Solve for x: Solve for x by dividing both sides by –1. x = –7 / (–1) x = 7Substitute for y: Substitute the value of x back into one of the original equations to solve for y. We'll use the first equation. –8(7) + 8y = –16 –56 + 8y = –16Isolate y: Add 56 to both sides of the equation to isolate the y term. 8y = –16 + 56 8y = 40Find y: Divide both sides by 8 to solve for y. y = 40 / 8 y = 5

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Solve using elimination. $\newline$ $-8x + 8y = -16$ $\newline$ $7x - 8y = 9$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-8x + 8y = -16

\newline

7x - 8y = 9

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $-8x + 8y = -16$ $\newline$ $7x - 8y = 9$
Add Equations: Add the two equations together to eliminate the $y$ variable. $\newline$ $(–8x + 8y) + (7x − 8y) = (–16) + 9$
Find $x$ : Perform the addition to find the value of $x$ . $\,-8x + 7x = -16 + 9$ $\,-1x = -7$
Solve for x: Solve for x by dividing both sides by extendash $1$ . $\newline$ $x = extendash 7 / ( extendash 1)$ $\newline$ $x = 7$
Substitute for y: Substitute the value of $x$ back into one of the original equations to solve for $y$ . We'll use the first equation. $\newline$ $-8(7) + 8y = -16$ $\newline$ $-56 + 8y = -16$
Isolate y: Add $56$ to both sides of the equation to isolate the $y$ term. $\newline$ $8y = -16 + 56$ $\newline$ $8y = 40$
Find $y$ : Divide both sides by $8$ to solve for $y$ . $y = \frac{40}{8}$ $y = 5$