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Is $(1,\,1)$ a solution to this system of inequalities? $\newline$ $10x + 9y \leq 19$ $\newline$ 19x + y > 14 $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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

Full solution

Q. Is

(1,\,1)

a solution to this system of inequalities?

\newline

10x + 9y \leq 19

\newline

19x + y > 14

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(1, 1)$ satisfies the first inequality: $10x + 9y \leq 19$ . Substitute $x = 1$ and $y = 1$ . $10(1) + 9(1) \leq 19$ $10 + 9 \leq 19$ $19 \leq 19$ This is true, so $(1, 1)$ satisfies the first inequality.
Check Second Inequality: Check if $(1, 1)$ satisfies the second inequality: 19x + y > 14. Substitute $x = 1$ and $y = 1$ . 19(1) + 1 > 14 19 + 1 > 14 20 > 14 This is true, so $(1, 1)$ satisfies the second inequality.
Solution Verification: Since $(1, 1)$ satisfies both inequalities, it is a solution to the system.

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