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Is $(10,\,7)$ a solution to this system of inequalities? $\newline$ 3x + 3y > 6 $\newline$ x + y < 18 $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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

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Q. Is

(10,\,7)

a solution to this system of inequalities?

\newline

3x + 3y > 6

\newline

x + y < 18

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(10, 7)$ satisfies the first inequality 3x + 3y > 6. $\newline$ Substitute $x = 10$ and $y = 7$ . $\newline$ 3(10) + 3(7) > 6 $\newline$ 30 + 21 > 6 $\newline$ 51 > 6, which is true.
Check Second Inequality: Check if $(10, 7)$ satisfies the second inequality x + y < 18. $\newline$ Substitute $x = 10$ and $y = 7$ . $\newline$ 10 + 7 < 18 $\newline$ 17 < 18, which is true.
Solution Verification: Since $(10, 7)$ satisfies both inequalities, it is a solution to the system.

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