Is (1,6) a solution to this system of equations? y = x + 5 y = 5x + 1 Choices: (A)yes (B)no

First Equation Analysis: We have the first equation: y = x + 5 Does the point (1, 6) satisfy the first equation? y = x + 5 6 = 1 + 5 6 = 6 Yes, the point (1, 6) satisfies the first equation y = x + 5.Second Equation Analysis: We have the second equation: y = 5x + 1 Does the point (1, 6) satisfy the second equation? y = 5x + 1 6 = 5(1) + 1 6 = 5 + 1 6 = 6 Yes, the point (1, 6) satisfies the second equation y = 5x + 1.Solution Verification: We found: (1, 6) satisfies the equation y = x + 5. (1, 6) satisfies the equation y = 5x + 1. Is (1,6) a solution to the system of equations? y = x + 5 y = 5x + 1 Both equations are true when (x, y) = (1, 6). Yes, (1,6) is a solution to the system of equations.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(1,6)$ a solution to this system of equations? $\newline$ $y = x + 5$ $\newline$ $y = 5x + 1$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

View step-by-step help

Home

Math Problems

Algebra 1

Is (x, y) a solution to the system of equations?

Full solution

Q. Is

(1,6)

a solution to this system of equations?

\newline

y = x + 5

\newline

y = 5x + 1

\newline

Choices:

\newline

(A)yes

\newline

(B)no

First Equation Analysis: We have the first equation: $\newline$ $y = x + 5$ $\newline$ Does the point $(1, 6)$ satisfy the first equation? $\newline$ $y = x + 5$ $\newline$ $6 = 1 + 5$ $\newline$ $6 = 6$ $\newline$ Yes, the point $(1, 6)$ satisfies the first equation $y = x + 5$ .
Second Equation Analysis: We have the second equation: $\newline$ $y = 5x + 1$ $\newline$ Does the point $(1, 6)$ satisfy the second equation? $\newline$ $y = 5x + 1$ $\newline$ $6 = 5(1) + 1$ $\newline$ $6 = 5 + 1$ $\newline$ $6 = 6$ $\newline$ Yes, the point $(1, 6)$ satisfies the second equation $y = 5x + 1$ .
Solution Verification: We found: $\newline$ $(1, 6)$ satisfies the equation $y = x + 5$ . $\newline$ $(1, 6)$ satisfies the equation $y = 5x + 1$ . $\newline$ Is $(1,6)$ a solution to the system of equations? $\newline$ $y = x + 5$ $\newline$ $y = 5x + 1$ $\newline$ Both equations are true when $(x, y) = (1, 6)$ . $\newline$ Yes, $(1,6)$ is a solution to the system of equations.