Is (1, 6) a solution to this system of inequalities? 10x + y ≥ 16 12x + 19y ≤ 15 Choices: (A)yes (B)no

Check Point (1, 6): Does the point (1, 6) satisfy the inequality 10x + y ≥ 16? Substitute x = 1 and y = 6 into the inequality 10x + y ≥ 16. 10(1) + 6 ≥ 16 10 + 6 ≥ 16 16 ≥ 16 The point (1, 6) satisfies the inequality 10x + y ≥ 16.Check Inequality 1: Does the point (1, 6) satisfy the inequality 12x + 19y ≤ 15? Substitute x = 1 and y = 6 into the inequality 12x + 19y ≤ 15. 12(1) + 19(6) ≤ 15 12 + 114 ≤ 15 126 ≤ 15 The point (1, 6) does not satisfy the inequality 12x + 19y ≤ 15.Check Inequality 2: Is (1, 6) a solution to the system of inequalities? Since the point (1, 6) satisfies the first inequality but does not satisfy the second inequality, it is not a solution to the system of inequalities.

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Is $(1,\,6)$ a solution to this system of inequalities? $\newline$ $10x + y \geq 16$ $\newline$ $12x + 19y \leq 15$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 2

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

Full solution

Q. Is

(1,\,6)

a solution to this system of inequalities?

\newline

10x + y \geq 16

\newline

12x + 19y \leq 15

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(1, 6)$ : Does the point $(1, 6)$ satisfy the inequality $10x + y \geq 16$ ? $\newline$ Substitute $x = 1$ and $y = 6$ into the inequality $10x + y \geq 16$ . $\newline$ $10(1) + 6 \geq 16$ $\newline$ $10 + 6 \geq 16$ $\newline$ $16 \geq 16$ $\newline$ The point $(1, 6)$ satisfies the inequality $10x + y \geq 16$ .
Check Inequality $1$ : Does the point $(1, 6)$ satisfy the inequality $12x + 19y \leq 15$ ? $\newline$ Substitute $x = 1$ and $y = 6$ into the inequality $12x + 19y \leq 15$ . $\newline$ $12(1) + 19(6) \leq 15$ $\newline$ $12 + 114 \leq 15$ $\newline$ $126 \leq 15$ $\newline$ The point $(1, 6)$ does not satisfy the inequality $12x + 19y \leq 15$ .
Check Inequality $2$ : Is $(1, 6)$ a solution to the system of inequalities? $\newline$ Since the point $(1, 6)$ satisfies the first inequality but does not satisfy the second inequality, it is not a solution to the system of inequalities.