Solve using elimination. –10x + y = 17 10x − 4y = –8 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. –10x + y = 17 10x − 4y = –8Add Equations: Add the two equations together to eliminate the x variable. (–10x + y) + (10x − 4y) = 17 + (–8)Perform Addition: Perform the addition to eliminate the x variable. –10x + 10x + y − 4y = 17 − 8 0x − 3y = 9Simplify Equation: Simplify the resulting equation. −3y = 9Solve for y: Solve for y by dividing both sides of the equation by -3. y = 9 / (−3) y = −3Substitute y: Substitute y = −3 into one of the original equations to solve for x. We'll use the first equation: –10x + y = 17. –10x + (−3) = 17Add 3 to Both Sides: Add 3 to both sides of the equation to isolate the term with x. –10x = 17 + 3 –10x = 20Divide by -10: Divide both sides by -10 to solve for x. x = 20 / (−10) x = −2Write Solution: Write down the solution to the system of equations as an ordered pair. The solution is (x, y) = (−2, −3).

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Solve using elimination. $\newline$ $-10x + y = 17$ $\newline$ $10x - 4y = -8$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-10x + y = 17

\newline

10x - 4y = -8

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $-10x + y = 17$ $\newline$ $10x - 4y = -8$
Add Equations: Add the two equations together to eliminate the $x$ variable. $\newline$ $(-10x + y) + (10x - 4y) = 17 + (-8)$
Perform Addition: Perform the addition to eliminate the $x$ variable. $\,-10x + 10x + y - 4y = 17 - 8$ $\,0x - 3y = 9$
Simplify Equation: Simplify the resulting equation. $-3y = 9$
Solve for y: Solve for y by dividing both sides of the equation by -3＂).$\newline\$y = \frac{9}{(-3)}$$\newline$$y = -3$
Substitute $y$: Substitute $y = -3$ into one of the original equations to solve for $x$. We'll use the first equation: $-10x + y = 17$.$\newline$$-10x + (-3) = 17$
Add $3$ to Both Sides: Add $3$ to both sides of the equation to isolate the term with $x$.$\newline$$-10x = 17 + 3$$\newline$$-10x = 20$
Divide by $-10$: Divide both sides by $-10$ to solve for $x$.\[x = \frac{20}{(−10)}\]\[x = −2\]
Write Solution: Write down the solution to the system of equations as an ordered pair.$\newline$The solution is $(x, y) = (-2, -3)$.