4x+5y >= -6 -2x+7y >= 20 Is (-4,4) a solution of the system? Choose 1 answer: (A) Yes (B) No

Step 1: Check Point Satisfaction: Check if the point (-4, 4) satisfies the inequality 4x + 5y ≥ -6. Substitute x = -4 and y = 4 into the inequality 4x + 5y ≥ -6. 4(-4) + 5(4) ≥ -6 -16 + 20 ≥ -6 4 ≥ -6 The point (-4, 4) satisfies the first inequality.Step 2: Substitute Values: Check if the point (-4, 4) satisfies the inequality -2x + 7y ≥ 20. Substitute x = -4 and y = 4 into the inequality -2x + 7y ≥ 20. -2(-4) + 7(4) ≥ 20 8 + 28 ≥ 20 36 ≥ 20 The point (-4, 4) satisfies the second inequality.Step 3: Evaluate Inequality: Determine if (-4, 4) is a solution to the system of inequalities. Since (-4, 4) satisfies both inequalities 4x + 5y ≥ -6 and -2x + 7y ≥ 20, it is a solution to the system.

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4x+5y >= -6

-2x+7y >= 20
Is
(-4,4) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

$4 x+5 y \geq-6$ $\newline$ $-2 x+7 y \geq 20$ $\newline$ Is $(-4,4)$ a solution of the system? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

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Algebra 2

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

Full solution

4 x+5 y \geq-6

\newline

-2 x+7 y \geq 20

\newline

(-4,4)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Step $1$ : Check Point Satisfaction: Check if the point $(-4, 4)$ satisfies the inequality $4x + 5y \geq -6$ . $\newline$ Substitute $x = -4$ and $y = 4$ into the inequality $4x + 5y \geq -6$ . $\newline$ $4(-4) + 5(4) \geq -6$ $\newline$ $-16 + 20 \geq -6$ $\newline$ $4 \geq -6$ $\newline$ The point $(-4, 4)$ satisfies the first inequality.
Step $2$ : Substitute Values: Check if the point $(-4, 4)$ satisfies the inequality $-2x + 7y \geq 20$ . $\newline$ Substitute $x = -4$ and $y = 4$ into the inequality $-2x + 7y \geq 20$ . $\newline$ $-2(-4) + 7(4) \geq 20$ $\newline$ $8 + 28 \geq 20$ $\newline$ $36 \geq 20$ $\newline$ The point $(-4, 4)$ satisfies the second inequality.
Step $3$ : Evaluate Inequality: Determine if $(-4, 4)$ is a solution to the system of inequalities. $\newline$ Since $(-4, 4)$ satisfies both inequalities $4x + 5y \geq -6$ and $-2x + 7y \geq 20$ , it is a solution to the system.