Is (6, 9) a solution to this system of inequalities? x + y ≤ 15 18x + 19y > 2 Choices: (A)yes (B)no

Check Inequality 1: Check if the point (6, 9) satisfies the inequality x + y ≤ 15. Substitute x = 6 and y = 9 into the inequality. 6 + 9 ≤ 15 15 ≤ 15 Since 15 is equal to 15, the inequality holds true.Check Inequality 2: Check if the point (6, 9) satisfies the inequality 18x + 19y > 2. Substitute x = 6 and y = 9 into the inequality. 18(6) + 19(9) > 2 108 + 171 > 2 279 > 2 Since 279 is greater than 2, the inequality holds true.Determine Solution: Determine if (6, 9) is a solution to the system of inequalities. Since the point (6, 9) satisfies both inequalities x + y ≤ 15 and 18x + 19y > 2, it is a solution to the system of inequalities.

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Is $(6,\,9)$ a solution to this system of inequalities? $\newline$ $x + y \leq 15$ $\newline$ 18x + 19y > 2 $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 1

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

Full solution

Q. Is

(6,\,9)

a solution to this system of inequalities?

\newline

x + y \leq 15

\newline

18x + 19y > 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality $1$ : Check if the point $(6, 9)$ satisfies the inequality $x + y \leq 15$ . $\newline$ Substitute $x = 6$ and $y = 9$ into the inequality. $\newline$ $6 + 9 \leq 15$ $\newline$ $15 \leq 15$ $\newline$ Since $15$ is equal to $15$ , the inequality holds true.
Check Inequality $2$ : Check if the point $(6, 9)$ satisfies the inequality 18x + 19y > 2. Substitute $x = 6$ and $y = 9$ into the inequality. 18(6) + 19(9) > 2 108 + 171 > 2 279 > 2 Since $279$ is greater than $2$ , the inequality holds true.
Determine Solution: Determine if $(6, 9)$ is a solution to the system of inequalities. $\newline$ Since the point $(6, 9)$ satisfies both inequalities $x + y \leq 15$ and 18x + 19y > 2, it is a solution to the system of inequalities.