Solve using elimination. –8x − 5y = 20 –8x − 9y = 4 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. –8x − 5y = 20 –8x − 9y = 4Subtract Equations: Subtract the second equation from the first equation to eliminate the variable x. (–8x − 5y) − (–8x − 9y) = 20 − 4Find y Equation: Perform the subtraction to find the equation in terms of y. –8x + 8x − 5y + 9y = 20 − 4 0x + 4y = 16Solve for y: Simplify the equation to solve for y. 4y = 16 y = 16 / 4 y = 4Substitute for x: Substitute the value of y back into one of the original equations to solve for x. Using the first equation: –8x − 5(4) = 20 –8x − 20 = 20Add to Isolate x: Add 20 to both sides of the equation to isolate the term with x. –8x − 20 + 20 = 20 + 20 –8x = 40Solve for x: Divide both sides by -8 to solve for x. x = 40 / (–8) x = –5Write Solution: Write down the solution to the system of equations. The solution is (x, y) = (–5, 4).

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Solve using elimination. $\newline$ $-8x - 5y = 20$ $\newline$ $-8x - 9y = 4$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-8x - 5y = 20

\newline

-8x - 9y = 4

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $-8x - 5y = 20$ $\newline$ $-8x - 9y = 4$
Subtract Equations: Subtract the second equation from the first equation to eliminate the variable $x$ . $(–8x − 5y) − (–8x − 9y) = 20 − 4$
Find y Equation: Perform the subtraction to find the equation in terms of y. $\newline$ $-8x + 8x - 5y + 9y = 20 - 4$ $\newline$ $0x + 4y = 16$
Solve for y: Simplify the equation to solve for y. $\newline$ $4y = 16$ $\newline$ $y = \frac{16}{4}$ $\newline$ $y = 4$
Substitute for x: Substitute the value of $y$ back into one of the original equations to solve for $x$ . Using the first equation: $-8x - 5(4) = 20$ $-8x - 20 = 20$
Add to Isolate $x$ : Add $20$ to both sides of the equation to isolate the term with $x$ . $-8x - 20 + 20 = 20 + 20$ $-8x = 40$
Solve for x: Divide both sides by $-8$ to solve for x. $\newline$ $x = \frac{40}{(–8)}$ $\newline$ $x = –5$
Write Solution: Write down the solution to the system of equations. $\newline$ The solution is $(x, y) = (\text{–}5, 4)$ .