Solve using elimination. –x + 9y = –9 x + 4y = –17 (_____, _____)

Write Equations: Write down the system of equations. –x + 9y = –9 x + 4y = –17Add Equations: Add the two equations together to eliminate x. (–x + 9y) + (x + 4y) = (–9) + (–17)Combine Terms: Perform the addition to eliminate x and combine like terms. –x + x + 9y + 4y = –9 – 17 0x + 13y = –26Solve for y: Solve for y. 13y = –26 y = –26 / 13 y = –2Substitute and Solve: Substitute y = –2 into one of the original equations to solve for x. We'll use the second equation: x + 4y = –17. x + 4(–2) = –17Final Solution: Perform the multiplication and solve for x. x - 8 = –17 x = –17 + 8 x = –9

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Solve using elimination. $\newline$ $-x + 9y = -9$ $\newline$ $x + 4y = -17$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-x + 9y = -9

\newline

x + 4y = -17

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $-x + 9y = -9$ $\newline$ $x + 4y = -17$
Add Equations: Add the two equations together to eliminate $x$ . $\left( -x + 9y \right) + \left( x + 4y \right) = \left( -9 \right) + \left( -17 \right)$
Combine Terms: Perform the addition to eliminate $x$ and combine like terms. $\,-x + x + 9y + 4y = -9 - 17$ $\,0x + 13y = -26$
Solve for y: Solve for y. $\newline$ $13y = -26$ $\newline$ $y = -\frac{26}{13}$ $\newline$ $y = -2$
Substitute and Solve: Substitute $y = -2$ into one of the original equations to solve for $x$ . We'll use the second equation: $x + 4y = -17$ . $\newline$ $x + 4(-2) = -17$
Final Solution: Perform the multiplication and solve for $x$ . $x - 8 = -17$ $x = -17 + 8$ $x = -9$