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Is $(5,\,5)$ a solution to this system of inequalities? $\newline$ $x \geq 5$ $\newline$ 14x + y > 15 $\newline$ 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

(5,\,5)

a solution to this system of inequalities?

\newline

x \geq 5

\newline

14x + y > 15

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Second Inequality: Now, let's check the second inequality 14x + y > 15 with $(5, 5)$ . $\newline$ Substitute $5$ for $x$ and $5$ for $y$ . $\newline$ 14(5) + 5 > 15 $\newline$ 70 + 5 > 15 $\newline$ 75 > 15 $\newline$ This is also true.
Substitute Values: Since $(5, 5)$ satisfies both inequalities, it is a solution to the system.

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