Solve using elimination. –6x − 8y = –2 6x − 9y = –15 (_____, _____)

Write Equations: Write down the system of equations. –6x − 8y = –2 6x − 9y = –15Add Equations: Add the two equations together to eliminate the x variable. (–6x − 8y) + (6x − 9y) = (–2) + (–15)Eliminate x: Perform the addition to eliminate the x variable. –6x + 6x − 8y − 9y = –2 − 15 0x − 17y = –17Solve for y: Simplify the equation to solve for y. −17y = –17 y = –17 / –17 y = 1Substitute for x: Substitute y = 1 into one of the original equations to solve for x. We'll use the first equation. –6x − 8(1) = –2 –6x − 8 = –2Isolate x: Add 8 to both sides of the equation to isolate the term with x. –6x − 8 + 8 = –2 + 8 –6x = 6Solve for x: Divide both sides by -6 to solve for x. –6x / -6 = 6 / -6 x = –1

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Solve using elimination. $\newline$ $-6x - 8y = -2$ $\newline$ $6x - 9y = -15$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-6x - 8y = -2

\newline

6x - 9y = -15

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $-6x - 8y = -2$ $\newline$ $6x - 9y = -15$
Add Equations: Add the two equations together to eliminate the $x$ variable. $\newline$ $(-6x - 8y) + (6x - 9y) = (-2) + (-15)$
Eliminate $x$ : Perform the addition to eliminate the $x$ variable. $\newline$ $−6x + 6x − 8y − 9y = −2 − 15$ $\newline$ $0x − 17y = −17$
Solve for y: Simplify the equation to solve for y. $\newline$ $-17y = -17$ $\newline$ $y = -17 / -17$ $\newline$ $y = 1$
Substitute for x: Substitute $y = 1$ into one of the original equations to solve for x. We'll use the first equation. $-6x − 8(1) = −2$ $-6x − 8 = −2$
Isolate x: Add $8$ to both sides of the equation to isolate the term with $x$ . $\newline$ $-6x - 8 + 8 = -2 + 8$ $\newline$ $-6x = 6$
Solve for x: Divide both sides by $-6$ to solve for x. $\newline$ $-6x / -6 = 6 / -6$ $\newline$ $x = -1$