Solve using augmented matrices. y = 4 4x − 8y = 8 (_____, _____)

Write System Matrix: question_prompt: What are the coordinates of the solution to the system of equations? Step 1: Write down the system of equations as an augmented matrix. \[ \begin{bmatrix} 0 & 1 & | & 4 \\ 4 & -8 & | & 8 \end{bmatrix} \]Replace Second Equation: Step 2: Since the first equation is already solved for y, we can use it to replace the second equation's y with 4. 4x - 8(4) = 8Simplify Second Equation: Step 3: Simplify the second equation. 4x - 32 = 8Add 32: Step 4: Add 32 to both sides of the equation. 4x = 40Divide by 4: Step 5: Divide both sides by 4 to solve for x. x = 10Use First Equation: Step 6: Use the value of y from the first equation. y = 4Write Ordered Pair: Step 7: Write the solution as an ordered pair. (10, 4)

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Solve using augmented matrices. $\newline$ $y = 4$ $\newline$ $4x − 8y = 8$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using any method

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Q. Solve using augmented matrices.

\newline

y = 4

\newline

4x − 8y = 8

\newline

(_____, _____)

Write System Matrix: question_prompt: What are the coordinates of the solution to the system of equations? $\newline$ Step $1$ : Write down the system of equations as an augmented matrix. $\newline$ $\begin{bmatrix} 0 & 1 & | & 4 \\ 4 & -8 & | & 8 \end{bmatrix}$
Replace Second Equation: Step $2$ : Since the first equation is already solved for $y$ , we can use it to replace the second equation's $y$ with $4$ . $4x - 8(4) = 8$
Simplify Second Equation: Step $3$ : Simplify the second equation. $4x - 32 = 8$
Add $32$ : Step $4$ : Add $32$ to both sides of the equation. $\newline$ $4x = 40$
Divide by $4$ : Step $5$ : Divide both sides by $4$ to solve for $x$ . $x = 10$
Use First Equation: Step $6$ : Use the value of $y$ from the first equation. $\newline$ $y = 4$
Write Ordered Pair: Step $7$ : Write the solution as an ordered pair. $(10, 4)$