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Is $(7,1)$ a solution to this system of equations? $\newline$ $9x + 12y = 12$ $\newline$ $x + 7y = 14$ $\newline$ 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

(7,1)

a solution to this system of equations?

\newline

9x + 12y = 12

\newline

x + 7y = 14

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Check Point $(7, 1)$ : We need to check if the point $(7, 1)$ satisfies the first equation: $\newline$ $9x + 12y = 12$ $\newline$ Substitute $x = 7$ and $y = 1$ into the equation: $\newline$ $9(7) + 12(1) = 12$ $\newline$ $63 + 12 = 12$ $\newline$ $75 = 12$ $\newline$ This is not true, so $(7, 1)$ does not satisfy the first equation.

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