Solve using elimination. –x + 4y = 2 –x − 5y = 20 (_____, _____)

Write Equations: Write down the system of equations. –x + 4y = 2 –x − 5y = 20Add Equations: Add the two equations together to eliminate the variable x. (–x + 4y) + (–x − 5y) = 2 + 20 This simplifies to: –x + 4y – x – 5y = 22Combine Terms: Combine like terms. –2x + (4y – 5y) = 22 –2x – y = 22Correct Combination: Since we have made a mistake in Step 3 by incorrectly combining the terms, we need to correct it. The correct combination of like terms should be: –x + 4y – x – 5y = 22 –2x – y = 22

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Solve using elimination. $\newline$ $-x + 4y = 2$ $\newline$ $-x - 5y = 20$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-x + 4y = 2

\newline

-x - 5y = 20

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $-x + 4y = 2$ $\newline$ $-x - 5y = 20$
Add Equations: Add the two equations together to eliminate the variable $x$ . $(–x + 4y) + (–x − 5y) = 2 + 20$ This simplifies to: $–x + 4y – x – 5y = 22$
Combine Terms: Combine like terms. $\newline$ $-2x + (4y - 5y) = 22$ $\newline$ $-2x - y = 22$
Correct Combination: Since we have made a mistake in Step $3$ by incorrectly combining the terms, we need to correct it. The correct combination of like terms should be: $\newline$ $-x + 4y - x - 5y = 22$ $\newline$ $-2x - y = 22$