Solve using augmented matrices. 7x + y = 17 x = 1 (_____, _____)

Write Augmented Matrix: First, let's write the system of equations as an augmented matrix. [7 1 | 17] [1 0 | 1]Make First Element 1: Now, we need to use the second equation to make the first element of the first row 1. But wait, the second equation already tells us that x = 1, so we don't need to do any row operations.Substitute x to Find y: Since x = 1, we can substitute x into the first equation to find y. 7(1) + y = 17 7 + y = 17 y = 17 - 7 y = 10Find Solution: We have found the values of x and y. The solution to the system is (1, 10).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve using augmented matrices. $\newline$ $7x + y = 17$ $\newline$ $x = 1$ $\newline$ (_, _)

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

7x + y = 17

\newline

x = 1

\newline

(_____, _____)

Write Augmented Matrix: First, let's write the system of equations as an augmented matrix. $\begin{bmatrix} 7 & 1 & \vert & 17 \ 1 & 0 & \vert & 1 \end{bmatrix}$
Make First Element $1$ : Now, we need to use the second equation to make the first element of the first row $1$ . But wait, the second equation already tells us that $x = 1$ , so we don't need to do any row operations.
Substitute $x$ to Find $y$ : Since $x = 1$ , we can substitute $x$ into the first equation to find $y$ . $7(1) + y = 17$ $7 + y = 17$ $y = 17 - 7$ $y = 10$
Find Solution: We have found the values of $x$ and $y$ . The solution to the system is $(1, 10)$ .