Solve using elimination. –4x − 8y = –4 –4x − 3y = 11 (_____, _____)

Write Equations: Write down the system of equations. –4x − 8y = –4 –4x − 3y = 11Eliminate x Variable: Since the coefficients of x in both equations are the same but with opposite signs, we can eliminate the x variable by adding the two equations together. (-4x - 8y) + (-4x - 3y) = -4 + 11Perform Addition: Perform the addition to eliminate the x variable. -4x - 4x = -8x (This is incorrect, as adding -4x and -4x should give -8x, but since we are eliminating x, this term should cancel out.) -8y - 3y = -11y -4 + 11 = 7

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Solve using elimination. $\newline$ $-4x - 8y = -4$ $\newline$ $-4x - 3y = 11$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

-4x - 8y = -4

\newline

-4x - 3y = 11

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $-4x - 8y = -4$ $\newline$ $-4x - 3y = 11$
Eliminate x Variable: Since the coefficients of $x$ in both equations are the same but with opposite signs, we can eliminate the $x$ variable by adding the two equations together. $(-4x - 8y) + (-4x - 3y) = -4 + 11$
Perform Addition: Perform the addition to eliminate the $x$ variable. $-4x - 4x = -8x$ (This is incorrect, as adding $-4x$ and $-4x$ should give $-8x$ , but since we are eliminating $x$ , this term should cancel out.) $-8y - 3y = -11y$ $-4 + 11 = 7$