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Is $(1,\,3)$ a solution to this system of inequalities? $\newline$ $7x + y \leq 10$ $\newline$ 5x + 3y < 18 $\newline$ 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,\,3)

a solution to this system of inequalities?

\newline

7x + y \leq 10

\newline

5x + 3y < 18

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Since $10$ is equal to $10$ , the point $(1, 3)$ satisfies the first inequality. $\newline$ Now, let's check the second inequality 5x + 3y < 18. $\newline$ Substitute $x = 1$ and $y = 3$ into the inequality. $\newline$ 5(1) + 3(3) < 18 $\newline$ 5 + 9 < 18 $\newline$ 14 < 18
Check Second Inequality: The point $(1, 3)$ also satisfies the second inequality because $14$ is less than $18$ . $\newline$ Since $(1, 3)$ satisfies both inequalities, it is a solution to the system.

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