Solve using elimination. 8x − 10y = 6 –8x + 7y = 15 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. 8x − 10y = 6 –8x + 7y = 15Add Equations: Add the two equations together to eliminate the x variable. (8x − 10y) + (−8x + 7y) = 6 + 15Eliminate x: Perform the addition to eliminate the x variable and simplify the equation. 8x − 8x − 10y + 7y = 6 + 15 0x − 3y = 21Solve for y: Solve for y by dividing both sides of the equation by -3. −3y / -3 = 21 / -3 y = -7Substitute and Solve: Substitute y = -7 into one of the original equations to solve for x. We'll use the first equation. 8x − 10(-7) = 6Finalize Solution: Simplify the equation and solve for x. 8x + 70 = 6 8x = 6 - 70 8x = -64 x = -64 / 8 x = -8

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Solve using elimination. $\newline$ $8x - 10y = 6$ $\newline$ $-8x + 7y = 15$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

8x - 10y = 6

\newline

-8x + 7y = 15

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $8x − 10y = 6$ $\newline$ $−8x + 7y = 15$
Add Equations: Add the two equations together to eliminate the $x$ variable. $\newline$ $(8x − 10y) + (−8x + 7y) = 6 + 15$
Eliminate $x$ : Perform the addition to eliminate the $x$ variable and simplify the equation. $8x − 8x − 10y + 7y = 6 + 15$ $0x − 3y = 21$
Solve for y: Solve for y by dividing both sides of the equation by $-3$ . $\newline$ $\frac{-3y}{-3} = \frac{21}{-3}$ $\newline$ $y = -7$
Substitute and Solve: Substitute $y = -7$ into one of the original equations to solve for $x$ . We'll use the first equation. $8x − 10(-7) = 6$
Finalize Solution: Simplify the equation and solve for $x$ . $8x + 70 = 6$ $8x = 6 - 70$ $8x = -64$ $x = -64 / 8$ $x = -8$