Solve using elimination. 3x − 3y = 18 –4x + 3y = –15 (_____, _____)

Write Equations: Write down the system of equations. 3x − 3y = 18 –4x + 3y = –15Add Equations: Add the two equations together to eliminate the y variable. (3x − 3y) + (−4x + 3y) = 18 + (−15)Find x: Perform the addition to find the value of x. 3x − 4x = 18 − 15 −x = 3Substitute x: Solve for x by dividing both sides by -1. x = 3 / -1 x = -3Simplify Equation: Substitute x = -3 into one of the original equations to solve for y. We'll use the first equation. 3(-3) − 3y = 18Isolate y Term: Perform the multiplication and simplify the equation. −9 − 3y = 18Solve for y: Add 9 to both sides of the equation to isolate the term with y. −3y = 18 + 9 −3y = 27Divide both sides by -3 to solve for y. y = 27 / -3 y = -9

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Solve using elimination. $\newline$ $3x - 3y = 18$ $\newline$ $-4x + 3y = -15$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

3x - 3y = 18

\newline

-4x + 3y = -15

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $3x − 3y = 18$ $\newline$ $−4x + 3y = −15$
Add Equations: Add the two equations together to eliminate the $y$ variable. $\newline$ $(3x − 3y) + (−4x + 3y) = 18 + (−15)$
Find $x$ : Perform the addition to find the value of $x$ . $3x − 4x = 18 − 15$ $−x = 3$
Substitute $x$ : Solve for $x$ by dividing both sides by $-1$ . $x = \frac{3}{-1}$ $x = -3$
Simplify Equation: Substitute $x = -3$ into one of the original equations to solve for y. We'll use the first equation. $3(-3) − 3y = 18$
Isolate y Term: Perform the multiplication and simplify the equation. $\newline$ $-9 - 3y = 18$
Solve for y: Add $9$ to both sides of the equation to isolate the term with $y$ . $\newline$ $-3y = 18 + 9$ $\newline$ $-3y = 27$
Solve for y: Add $9$ to both sides of the equation to isolate the term with $y$ . $\newline$ $-3y = 18 + 9$ $\newline$ $-3y = 27$ Divide both sides by $-3$ to solve for $y$ . $\newline$ $y = 27 / -3$ $\newline$ $y = -9$