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Is $(1,8)$ a solution to this system of equations? $\newline$ $y = x + 7$ $\newline$ $y = 7x + 1$ $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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

Full solution

Q. Is

(1,8)

a solution to this system of equations?

\newline

y = x + 7

\newline

y = 7x + 1

\newline

Choices:

\newline

(A) yes

\newline

(B) no

First Equation Verification: We have the first equation: $\newline$ $y = x + 7$ $\newline$ Does the point $(1, 8)$ satisfy the first equation? $\newline$ $y = x + 7$ $\newline$ $8 = 1 + 7$ $\newline$ $8 = 8$ $\newline$ Yes, the point $(1, 8)$ satisfies the equation $y = x + 7$ .
Second Equation Verification: We have the second equation: $\newline$ $y = 7x + 1$ $\newline$ Does the point $(1, 8)$ satisfy the second equation? $\newline$ $y = 7x + 1$ $\newline$ $8 = 7(1) + 1$ $\newline$ $8 = 7 + 1$ $\newline$ $8 = 8$ $\newline$ Yes, the point $(1, 8)$ satisfies the equation $y = 7x + 1$ .
Solution Verification: We found: $\newline$ $(1, 8)$ satisfies the equation $y = x + 7$ . $\newline$ $(1, 8)$ satisfies the equation $y = 7x + 1$ . $\newline$ Is $(1,8)$ a solution to the system of equations? $\newline$ $y = x + 7$ $\newline$ $y = 7x + 1$ $\newline$ Both equations are true when $(x, y) = (1, 8)$ . $\newline$ Yes, $(1,8)$ is a solution to the system of equations.

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