Solve using elimination. –8x − 9y = 18 –9x − 9y = 9 (_____, _____)

Set Up Equations: First, we need to set up the equations in a way that will allow us to eliminate one of the variables by adding or subtracting the equations from each other. The given system of equations is: –8x − 9y = 18 –9x − 9y = 9Eliminate y Variable: To eliminate the y variable, we can add the two equations together because the coefficients of y are the same (but with opposite signs). Adding the two equations: (–8x − 9y) + (–9x − 9y) = 18 + 9Add Equations: Perform the addition: –8x + (–9x) = –17x –9y + (–9y) = –18y 18 + 9 = 27 So, we get: –17x − 18y = 27

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Solve using elimination. $\newline$ $-8x - 9y = 18$ $\newline$ $-9x - 9y = 9$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-8x - 9y = 18

\newline

-9x - 9y = 9

\newline

(_____, _____)

Set Up Equations: First, we need to set up the equations in a way that will allow us to eliminate one of the variables by adding or subtracting the equations from each other. $\newline$ The given system of equations is: $\newline$ $-8x - 9y = 18$ $\newline$ $-9x - 9y = 9$
Eliminate y Variable: To eliminate the y variable, we can add the two equations together because the coefficients of y are the same (but with opposite signs). $\newline$ Adding the two equations: $\newline$ $(-8x - 9y) + (-9x - 9y) = 18 + 9$
Add Equations: Perform the addition: $\newline$ $-8x + (-9x) = -17x$ $\newline$ $-9y + (-9y) = -18y$ $\newline$ $18 + 9 = 27$ $\newline$ So, we get: $\newline$ $-17x - 18y = 27$