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Is $(4,6)$ a solution to this system of equations? $\newline$ $3x + y = 18$ $\newline$ $15x + 9y = 11$ $\newline$ 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

(4,6)

a solution to this system of equations?

\newline

3x + y = 18

\newline

15x + 9y = 11

\newline

Choices:

\newline

(A) yes

\newline

(B) no

First Equation Check: We have the first equation: $\newline$ $3x + y = 18$ $\newline$ Does the point $(4, 6)$ satisfy the first equation? $\newline$ $3x + y = 18$ $\newline$ $3(4) + 6 = 18$ $\newline$ $12 + 6 = 18$ $\newline$ $18 = 18$ $\newline$ Yes, the point $(4, 6)$ satisfies the first equation.
First Equation Result: We have the second equation: $\newline$ $15x + 9y = 11$ $\newline$ Does the point $(4, 6)$ satisfy the second equation? $\newline$ $15x + 9y = 11$ $\newline$ $15(4) + 9(6) = 11$ $\newline$ $60 + 54 = 11$ $\newline$ $114 = 11$ $\newline$ No, the point $(4, 6)$ does not satisfy the second equation. There is a math error in the calculation.

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