Solve using elimination. 9x − 10y = –9 –8x + 10y = 18 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. 9x − 10y = –9 –8x + 10y = 18Add Equations: Add the two equations together to eliminate the y variable. (9x − 10y) + (−8x + 10y) = (−9) + (18)Find x: Perform the addition to find the value of x. 9x − 8x = 18 − 9 1x = 9 x = 9Substitute x: Substitute the value of x back into one of the original equations to solve for y. We'll use the first equation. 9(9) − 10y = –9 81 − 10y = –9Isolate y: Isolate the y variable by moving 81 to the other side of the equation. −10y = –9 − 81 −10y = –90Find y: Divide both sides by -10 to find the value of y. y = –90 / (−10) y = 9

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Solve using elimination. $\newline$ $9x - 10y = -9$ $\newline$ $-8x + 10y = 18$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

9x - 10y = -9

\newline

-8x + 10y = 18

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $9x − 10y = −9$ $\newline$ $−8x + 10y = 18$
Add Equations: Add the two equations together to eliminate the $y$ variable. $\newline$ $(9x − 10y) + (−8x + 10y) = (−9) + (18)$
Find $x$ : Perform the addition to find the value of $x$ . $9x − 8x = 18 − 9$ $1x = 9$ $x = 9$
Substitute $x$ : Substitute the value of $x$ back into one of the original equations to solve for $y$ . We'll use the first equation. $9(9) − 10y = –9$ $81 − 10y = –9$
Isolate y: Isolate the $y$ variable by moving $81$ to the other side of the equation. $\newline$ $-10y = -9 - 81$ $\newline$ $-10y = -90$
Find $y$ : Divide both sides by $-10$ to find the value of $y$ .
$y = \frac{−90}{(−10)}$
$y = 9$