Is (2, 2) a solution to this system of inequalities? 5x + 4y ≤ 18 2x + y ≤ 6 Choices: (A)yes (B)no

Check Point (2, 2): Does the point (2, 2) satisfy the inequality 5x + 4y ≤ 18? Substitute 2 for x and 2 for y in 5x + 4y ≤ 18. 5(2) + 4(2) ≤ 18 10 + 8 ≤ 18 18 ≤ 18 Since 18 ≤ 18 is true, (2, 2) satisfies the inequality 5x + 4y ≤ 18.Verify Inequality 5x + 4y ≤ 18: Does the point (2, 2) satisfy the inequality 2x + y ≤ 6? Substitute 2 for x and 2 for y in 2x + y ≤ 6. 2(2) + 2 ≤ 6 4 + 2 ≤ 6 6 ≤ 6 Since 6 ≤ 6 is true, (2, 2) satisfies the inequality 2x + y ≤ 6.Verify Inequality 2x + y ≤ 6: Is (2, 2) a solution to the system of inequalities? Since (2, 2) satisfies both inequalities 5x + 4y ≤ 18 and 2x + y ≤ 6, (2, 2) is a solution to the system of inequalities.

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Is $(2,\,2)$ a solution to this system of inequalities? $\newline$ $5x + 4y \leq 18$ $\newline$ $2x + y \leq 6$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 1

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

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Q. Is

(2,\,2)

a solution to this system of inequalities?

\newline

5x + 4y \leq 18

\newline

2x + y \leq 6

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $2, 2$ : Does the point $2, 2$ satisfy the inequality $5x + 4y \leq 18$ ? $\newline$ Substitute $2$ for $x$ and $2$ for $y$ in $5x + 4y \leq 18$ . $\newline$ $5(2) + 4(2) \leq 18$ $\newline$ $10 + 8 \leq 18$ $\newline$ $2, 2$ $0$ $\newline$ Since $2, 2$ $0$ is true, $2, 2$ satisfies the inequality $5x + 4y \leq 18$ .
Verify Inequality $5x + 4y \leq 18$ : Does the point $(2, 2)$ satisfy the inequality $2x + y \leq 6$ ? $\newline$ Substitute $2$ for $x$ and $2$ for $y$ in $2x + y \leq 6$ . $\newline$ $2(2) + 2 \leq 6$ $\newline$ $4 + 2 \leq 6$ $\newline$ $(2, 2)$ $0$ $\newline$ Since $(2, 2)$ $0$ is true, $(2, 2)$ satisfies the inequality $2x + y \leq 6$ .
Verify Inequality $2x + y \leq 6$ : Is $(2, 2)$ a solution to the system of inequalities? $\newline$ Since $(2, 2)$ satisfies both inequalities $5x + 4y \leq 18$ and $2x + y \leq 6$ , $(2, 2)$ is a solution to the system of inequalities.