Solve using elimination. 6x − 6y = 12 –7x + 6y = –20 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. 6x − 6y = 12 –7x + 6y = –20Add Equations: Add the two equations together to eliminate the y variable. (6x − 6y) + (−7x + 6y) = 12 + (−20)Find x: Perform the addition to find the value of x. 6x − 7x = 12 − 20 −x = −8Solve for x: Solve for x by dividing both sides by -1. −x / -1 = −8 / -1 x = 8Substitute for y: Substitute the value of x back into one of the original equations to solve for y. We'll use the first equation. 6(8) − 6y = 12Simplify Equation: Perform the multiplication to simplify the equation. 48 − 6y = 12Isolate y: Subtract 48 from both sides to isolate the term containing y. −6y = 12 − 48 −6y = −36Find y: Divide both sides by -6 to solve for y. −6y / -6 = −36 / -6 y = 6

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Solve using elimination. $\newline$ $6x - 6y = 12$ $\newline$ $-7x + 6y = -20$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

6x - 6y = 12

\newline

-7x + 6y = -20

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $6x − 6y = 12$ $\newline$ $−7x + 6y = −20$
Add Equations: Add the two equations together to eliminate the $y$ variable. $\newline$ $(6x − 6y) + (−7x + 6y) = 12 + (−20)$
Find $x$ : Perform the addition to find the value of $x$ . $6x − 7x = 12 − 20$ $−x = −8$
Solve for x: Solve for x by dividing both sides by $-1$ . $\newline$ $\frac{-x}{-1} = \frac{-8}{-1}$ $\newline$ $x = 8$
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. $6(8) - 6y = 12$
Simplify Equation: Perform the multiplication to simplify the equation. $48 - 6y = 12$
Isolate y: Subtract $48$ from both sides to isolate the term containing $y$ . $\newline$ $-6y = 12 - 48$ $\newline$ $-6y = -36$
Find $y$ : Divide both sides by $-6$ to solve for $y$ . $\newline$ $\frac{-6y}{-6} = \frac{-36}{-6}$ $\newline$ $y = 6$