Solve using elimination. 2x − 4y = 18 –2x + 2y = –2 (_____, _____)

Write Equations: Write down the system of equations. 2x − 4y = 18 –2x + 2y = –2Add Equations: Add the two equations together to eliminate the x variable. (2x − 4y) + (−2x + 2y) = 18 + (−2)Perform Addition: Perform the addition. 2x − 2x − 4y + 2y = 18 − 2 0x − 2y = 16Simplify Equation: Simplify the equation. −2y = 16Solve for y: Divide both sides by -2 to solve for y. y = 16 / -2 y = -8Substitute and Solve: Substitute y = -8 into one of the original equations to solve for x. We'll use the first equation. 2x − 4(-8) = 18Perform Multiplication: Perform the multiplication and addition to isolate x. 2x + 32 = 18Subtract 32: Subtract 32 from both sides to solve for x. 2x = 18 - 32 2x = -14Divide by 2: Divide both sides by 2 to find the value of x. x = -14 / 2 x = -7

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Solve using elimination. $\newline$ $2x - 4y = 18$ $\newline$ $-2x + 2y = -2$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

2x - 4y = 18

\newline

-2x + 2y = -2

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $2x - 4y = 18$ $\newline$ $-2x + 2y = -2$
Add Equations: Add the two equations together to eliminate the $x$ variable. $\newline$ $(2x − 4y) + (−2x + 2y) = 18 + (−2)$
Perform Addition: Perform the addition. $\newline$ $2x - 2x - 4y + 2y = 18 - 2$ $\newline$ $0x - 2y = 16$
Simplify Equation: Simplify the equation. $-2y = 16$
Solve for y: Divide both sides by $-2$ to solve for y. $\newline$ $y = \frac{16}{-2}$ $\newline$ $y = -8$
Substitute and Solve: Substitute $y = -8$ into one of the original equations to solve for $x$ . We'll use the first equation. $2x − 4(-8) = 18$
Perform Multiplication: Perform the multiplication and addition to isolate $x$ . $2x + 32 = 18$
Subtract $32$ : Subtract $32$ from both sides to solve for $x$ . $2x = 18 - 32$ $2x = -14$
Divide by $2$ : Divide both sides by $2$ to find the value of $x$ . $x = -14 / 2$ $x = -7$