Solve using elimination. –5x + 6y = –8 7x − 6y = –8 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. –5x + 6y = –8 7x − 6y = –8Add Equations: Add the two equations together to eliminate the y variable. (–5x + 6y) + (7x − 6y) = –8 + (–8)Combine Terms: Perform the addition to eliminate the y terms and combine like terms. –5x + 7x = –16 2x = –16Solve for x: Solve for x by dividing both sides of the equation by 2. 2x ÷ 2 = –16 ÷ 2 x = –8Substitute x: Substitute x = –8 back into one of the original equations to solve for y. We'll use the first equation: –5x + 6y = –8. –5(–8) + 6y = –8Simplify Equation: Multiply –5 by –8 to simplify the equation. 40 + 6y = –8Subtract 40: Subtract 40 from both sides of the equation to solve for y. 6y = –8 – 40 6y = –48Divide by 6: Divide both sides of the equation by 6 to find the value of y. 6y ÷ 6 = –48 ÷ 6 y = –8

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Solve using elimination. $\newline$ $-5x + 6y = -8$ $\newline$ $7x - 6y = -8$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-5x + 6y = -8

\newline

7x - 6y = -8

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $-5x + 6y = -8$ $\newline$ $7x - 6y = -8$
Add Equations: Add the two equations together to eliminate the $y$ variable. $\newline$ $(-5x + 6y) + (7x − 6y) = −8 + (−8)$
Combine Terms: Perform the addition to eliminate the $y$ terms and combine like terms. $\,-5x + 7x = -16$ $\,2x = -16$
Solve for x: Solve for x by dividing both sides of the equation by $2$ . $\newline$ $2x \div 2 = -16 \div 2$ $\newline$ $x = -8$
Substitute $x$ : Substitute $x = -8$ back into one of the original equations to solve for $y$ . We'll use the first equation: $-5x + 6y = -8$ . $\newline$ $-5(-8) + 6y = -8$
Simplify Equation: Multiply $-5$ by $-8$ to simplify the equation. $\newline$ $40 + 6y = -8$
Subtract $40$ : Subtract $40$ from both sides of the equation to solve for $y$ . $\newline$ $6y = -8 - 40$ $\newline$ $6y = -48$
Divide by $6$ : Divide both sides of the equation by $6$ to find the value of $y$ . $6y \div 6 = -48 \div 6$ $y = -8$