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Is $(2,9)$ a solution to this system of equations? $\newline$ $y = 3x + 3$ $\newline$ $y = x + 5$ $\newline$ 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

(2,9)

a solution to this system of equations?

\newline

y = 3x + 3

\newline

y = x + 5

\newline

Choices:

\newline

(A)yes

\newline

(B)no

First Equation Analysis: We have the first equation: $\newline$ $y = 3x + 3$ $\newline$ Does the point $(2, 9)$ satisfy the first equation? $\newline$ $y = 3x + 3$ $\newline$ $9 = 3(2) + 3$ $\newline$ $9 = 6 + 3$ $\newline$ $9 = 9$ $\newline$ Yes, the point $(2, 9)$ satisfies the first equation $y = 3x + 3$ .
Second Equation Analysis: We have the second equation: $\newline$ $y = x + 5$ $\newline$ Does the point $(2, 9)$ satisfy the second equation? $\newline$ $y = x + 5$ $\newline$ $9 = 2 + 5$ $\newline$ $9 = 7$ $\newline$ No, the point $(2, 9)$ does not satisfy the second equation $y = x + 5$ because $9$ does not equal $7$ .

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