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Is $(8,\,7)$ a solution to this system of inequalities? $\newline$ $x + y \leq 15$ $\newline$ $5x + 8y > 7$ $\newline$ 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

(8,\,7)

a solution to this system of inequalities?

\newline

x + y \leq 15

\newline

5x + 8y > 7

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: The first inequality is satisfied because $15$ is equal to $15$ . Now, let's check the second inequality: $5x + 8y > 7$ . Substitute $8$ for $x$ and $7$ for $y$ . $5(8) + 8(7) > 7$ $40 + 56 > 7$ $96 > 7$
Check Second Inequality: The second inequality is also satisfied because $96$ is greater than $7$ . $\newline$ Since both inequalities are satisfied, $(8, 7)$ is a solution to the system.

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