Solve using elimination. –3x + 8y = 17 –5x − 8y = 7 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. –3x + 8y = 17 –5x − 8y = 7Add Equations: Add the two equations together to eliminate the y variable. (–3x + 8y) + (–5x − 8y) = 17 + 7Find x: Perform the addition to find the value of x. –3x – 5x + 8y – 8y = 17 + 7 –8x = 24Solve for x: Divide both sides by -8 to solve for x. x = 24 / -8 x = -3Substitute x: Substitute x = -3 into one of the original equations to solve for y. We'll use the first equation. –3(-3) + 8y = 17Simplify Equation: Perform the multiplication and simplify the equation. 9 + 8y = 17Solve for y: Subtract 9 from both sides to solve for y. 8y = 17 - 9 8y = 8Find y: Divide both sides by 8 to find the value of y. y = 8 / 8 y = 1

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Solve using elimination. $\newline$ $-3x + 8y = 17$ $\newline$ $-5x - 8y = 7$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-3x + 8y = 17

\newline

-5x - 8y = 7

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $-3x + 8y = 17$ $\newline$ $-5x - 8y = 7$
Add Equations: Add the two equations together to eliminate the $y$ variable. $\newline$ $(-3x + 8y) + (-5x - 8y) = 17 + 7$
Find x: Perform the addition to find the value of x. $\newline$ $-3x - 5x + 8y - 8y = 17 + 7$ $\newline$ $-8x = 24$
Solve for x: Divide both sides by $-8$ to solve for x. $\newline$ $x = \frac{24}{-8}$ $\newline$ $x = -3$
Substitute $x$ : Substitute $x = -3$ into one of the original equations to solve for $y$ . We'll use the first equation. $\,-3(-3) + 8y = 17$
Simplify Equation: Perform the multiplication and simplify the equation. $\newline$ $9 + 8y = 17$
Solve for y: Subtract $9$ from both sides to solve for $y$ . $\newline$ $8y = 17 - 9$ $\newline$ $8y = 8$
Find $y$ : Divide both sides by $8$ to find the value of $y$ . $\newline$ $y = \frac{8}{8}$ $\newline$ $y = 1$