Solve using augmented matrices. 10x + 8y = –20 y = –5 (_____, _____)

Write System as Matrix: question_prompt: What is the solution to the system of equations using augmented matrices? Eliminate y from First Equation: Step 1: Write the system of equations as an augmented matrix. Solve for x: Step 2: Use the second equation to eliminate y from the first equation. Multiply the second row by -8 and add it to the first row. Write Down Solution: Step 3: Now we have the matrix: [10 0 | 20] [ 0 1 | –5] Divide the first row by 10 to solve for x. Step 4: Write down the solution from the matrix.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve using augmented matrices. $\newline$ $10x + 8y = -20$ $\newline$ $y = -5$ $\newline$ (_, _)

View step-by-step help

Home

Math Problems

Grade 8

Solve a system of equations using any method

Full solution

Q. Solve using augmented matrices.

\newline

10x + 8y = -20

\newline

y = -5

\newline

(_____, _____)

Write System as Matrix: question_prompt: What is the solution to the system of equations using augmented matrices?
Eliminate $y$ from First Equation: Step $1$ : Write the system of equations as an augmented matrix.
Solve for $x$ : Step $2$ : Use the second equation to eliminate $y$ from the first equation. Multiply the second row by $-8$ and add it to the first row.
Write Down Solution: Step $3$ : Now we have the matrix: $\newline$ $\begin{matrix} 10 & 0 & | & 20 \ 0 & 1 & | & -5 \end{matrix}$ $\newline$ Divide the first row by $10$ to solve for $x$ .
Write Down Solution: Step $3$ : Now we have the matrix: $\newline$ $\begin{pmatrix} 10 & 0 & | & 20 \ 0 & 1 & | & -5 \end{pmatrix}$ $\newline$ Divide the first row by $10$ to solve for $x$ . Step $4$ : Write down the solution from the matrix.