Is (1, 7) a solution to this system of inequalities? 2x + 2y < 19 5x + y ≥ 12 Choices: (A)yes (B)no

Check First Inequality: Does the point (1, 7) satisfy the inequality 2x + 2y < 19? Substitute 1 for x and 7 for y in 2x + 2y < 19. 2(1) + 2(7) < 19 2 + 14 < 19 16 < 19 Since 16 < 19 is true, (1, 7) satisfies the first inequality.Check Second Inequality: Does the point (1, 7) satisfy the inequality 5x + y ≥ 12? Substitute 1 for x and 7 for y in 5x + y ≥ 12. 5(1) + 7 ≥ 12 5 + 7 ≥ 12 12 ≥ 12 Since 12 ≥ 12 is true, (1, 7) satisfies the second inequality.Verify Solution: Is (1, 7) a solution to the system of inequalities? Since (1, 7) satisfies both inequalities: 2x + 2y < 19 5x + y ≥ 12 We can conclude that (1, 7) is indeed a solution to the system of inequalities.

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Is $(1,\,7)$ a solution to this system of inequalities? $\newline$ 2x + 2y < 19 $\newline$ $5x + y \geq 12$ $\newline$ 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

(1,\,7)

a solution to this system of inequalities?

\newline

2x + 2y < 19

\newline

5x + y \geq 12

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Does the point $(1, 7)$ satisfy the inequality 2x + 2y < 19? $\newline$ Substitute $1$ for $x$ and $7$ for $y$ in 2x + 2y < 19. $\newline$ 2(1) + 2(7) < 19 $\newline$ 2 + 14 < 19 $\newline$ 16 < 19 $\newline$ Since 16 < 19 is true, $(1, 7)$ satisfies the first inequality.
Check Second Inequality: Does the point $(1, 7)$ satisfy the inequality $5x + y \geq 12$ ? $\newline$ Substitute $1$ for $x$ and $7$ for $y$ in $5x + y \geq 12$ . $\newline$ $5(1) + 7 \geq 12$ $\newline$ $5 + 7 \geq 12$ $\newline$ $12 \geq 12$ $\newline$ Since $12 \geq 12$ is true, $(1, 7)$ satisfies the second inequality.
Verify Solution: Is $(1, 7)$ a solution to the system of inequalities? $\newline$ Since $(1, 7)$ satisfies both inequalities: $\newline$ 2x + 2y < 19 $\newline$ $5x + y \geq 12$ $\newline$ We can conclude that $(1, 7)$ is indeed a solution to the system of inequalities.