Solve using elimination. –10x + 8y = –16 7x − 8y = –8 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. –10x + 8y = –16 7x − 8y = –8Add Equations: Add the two equations together to eliminate the y variable. (–10x + 8y) + (7x − 8y) = (–16) + (–8)Find x: Perform the addition to find the value of x. –10x + 7x = –16 – 8 –3x = –24Solve for x: Divide both sides by –3 to solve for x. x = –24 / –3 x = 8Substitute x: Substitute the value of x back into one of the original equations to solve for y. We can use the first equation. –10(8) + 8y = –16 –80 + 8y = –16Isolate y: Add 80 to both sides to isolate the y term. 8y = –16 + 80 8y = 64Solve for y: Divide both sides by 8 to solve for y. y = 64 / 8 y = 8

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Solve using elimination. $\newline$ $-10x + 8y = -16$ $\newline$ $7x - 8y = -8$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-10x + 8y = -16

\newline

7x - 8y = -8

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $-10x + 8y = -16$ $\newline$ $7x - 8y = -8$
Add Equations: Add the two equations together to eliminate the $y$ variable. $\newline$ $(–10x + 8y) + (7x − 8y) = (–16) + (–8)$
Find $x$ : Perform the addition to find the value of $x$ . $\,-10x + 7x = -16 - 8$ $\,-3x = -24$
Solve for x: Divide both sides by $–3$ to solve for x. $x = \frac{–24}{–3}$ $x = 8$
Substitute $x$ : Substitute the value of $x$ back into one of the original equations to solve for $y$ . We can use the first equation. $\newline$ $–10(8) + 8y = –16$ $\newline$ $–80 + 8y = –16$
Isolate y: Add $80$ to both sides to isolate the $y$ term. $\newline$ $8y = -16 + 80$ $\newline$ $8y = 64$
Solve for y: Divide both sides by $8$ to solve for y. $\newline$ y = $\frac{64}{8}$ $\newline$ y = $8$