Solve using elimination. x + 5y = –15 –x − 6y = 20 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. x + 5y = –15 –x − 6y = 20Add Equations: Add the two equations together to eliminate the variable x. (x + 5y) + (–x − 6y) = –15 + 20Combine Terms: Perform the addition to eliminate x and combine like terms. x - x + 5y - 6y = –15 + 20 0x - y = 5Solve for y: Solve for y. -y = 5 y = -5Substitute and Solve: Substitute y = -5 into one of the original equations to solve for x. We'll use the first equation. x + 5(-5) = –15Find x: Perform the multiplication and solve for x. x - 25 = –15 x = –15 + 25 x = 10Write Solution: Write down the solution to the system of equations as an ordered pair. The solution is (x, y) = (10, -5).

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Solve using elimination. $\newline$ $x + 5y = -15$ $\newline$ $-x - 6y = 20$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

x + 5y = -15

\newline

-x - 6y = 20

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $x + 5y = -15$ $\newline$ $-x - 6y = 20$
Add Equations: Add the two equations together to eliminate the variable $x$ . $(x + 5y) + (–x − 6y) = –15 + 20$
Combine Terms: Perform the addition to eliminate $x$ and combine like terms. $\newline$ $x - x + 5y - 6y = -15 + 20$ $\newline$ $0x - y = 5$
Solve for y: Solve for y. $\newline$ $-y = 5$ $\newline$ $y = -5$
Substitute and Solve: Substitute $y = -5$ into one of the original equations to solve for $x$ . We'll use the first equation. $x + 5(-5) = -15$
Find $x$ : Perform the multiplication and solve for $x$ .
$x - 25 = -15$
$x = -15 + 25$
$x = 10$
Write Solution: Write down the solution to the system of equations as an ordered pair. $\newline$ The solution is $(x, y) = (10, -5)$ .