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Is $(7,2)$ a solution to this system of equations? $\newline$ $x + 6y = 19$ $\newline$ $20x + 12y = 13$ $\newline$ 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

(7,2)

a solution to this system of equations?

\newline

x + 6y = 19

\newline

20x + 12y = 13

\newline

Choices:

\newline

(A) yes

\newline

(B) no

First Equation Check: We have the first equation: $\newline$ $x + 6y = 19$ $\newline$ Does the point $(7, 2)$ satisfy the first equation? $\newline$ $x + 6y = 19$ $\newline$ $7 + 6(2) = 19$ $\newline$ $7 + 12 = 19$ $\newline$ $19 = 19$ $\newline$ Yes, the point $(7, 2)$ satisfies the first equation.
First Equation Result: We have the second equation: $\newline$ $20x + 12y = 13$ $\newline$ Does the point $(7, 2)$ satisfy the second equation? $\newline$ $20x + 12y = 13$ $\newline$ $20(7) + 12(2) = 13$ $\newline$ $140 + 24 = 13$ $\newline$ $164 \neq 13$ $\newline$ No, the point $(7, 2)$ does not satisfy the second equation.

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