Solve using elimination. –6x − 6y = 6 x + 6y = 19 (_____, _____)

Write Equations: Write down the system of equations. –6x − 6y = 6 x + 6y = 19Add Equations: Add the two equations together to eliminate y. (–6x − 6y) + (x + 6y) = 6 + 19Find x: Perform the addition to find the value of x. –6x + x = 6 + 19 –5x = 25Solve for x: Divide both sides by –5 to solve for x. x = 25 / (–5) x = –5Substitute x: Substitute x = –5 into one of the original equations to solve for y. We'll use the second equation: x + 6y = 19. (–5) + 6y = 19Isolate y: Add 5 to both sides to isolate the term with y. 6y = 19 + 5 6y = 24Solve for y: Divide both sides by 6 to solve for y. y = 24 / 6 y = 4

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Solve using elimination. $\newline$ $-6x - 6y = 6$ $\newline$ $x + 6y = 19$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-6x - 6y = 6

\newline

x + 6y = 19

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $-6x - 6y = 6$ $\newline$ $x + 6y = 19$
Add Equations: Add the two equations together to eliminate $y$ .( $-6x - 6y$ + $x + 6y$ = $6$ + $19$
Find $x$ : Perform the addition to find the value of $x$ . $\,-6x + x = 6 + 19$ $\,-5x = 25$
Solve for x: Divide both sides by $–5$ to solve for x. $x = \frac{25}{(–5)}$ $x = –5$
Substitute $x$ : Substitute $x = -5$ into one of the original equations to solve for $y$ . We'll use the second equation: $x + 6y = 19$ . $\newline$ $(-5) + 6y = 19$
Isolate $y$ : Add $5$ to both sides to isolate the term with $y$ . $6y = 19 + 5$ $6y = 24$
Solve for y: Divide both sides by $6$ to solve for y. $\newline$ y = $\frac{24}{6}$ $\newline$ y = $4$