2x+5y > -6 -4x+3y <= 2 Is (-1,7) a solution of the system? Choose 1 answer: (A) Yes (B) No

Step 1: Check inequality for point (-1, 7): Check if the point (-1, 7) satisfies the inequality 2x + 5y > -6. Substitute x = -1 and y = 7 into the inequality 2x + 5y > -6. 2(-1) + 5(7) > -6 -2 + 35 > -6 33 > -6 The point (-1, 7) satisfies the inequality 2x + 5y > -6.Step 2: Substitute values into inequality: Check if the point (-1, 7) satisfies the inequality -4x + 3y ≤ 2. Substitute x = -1 and y = 7 into the inequality -4x + 3y ≤ 2. -4(-1) + 3(7) ≤ 2 4 + 21 ≤ 2 25 ≤ 2 The point (-1, 7) does not satisfy the inequality -4x + 3y ≤ 2.

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2x+5y > -6

-4x+3y <= 2
Is
(-1,7) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

2 x+5 y>-6 $\newline$ $-4 x+3 y \leq 2$ $\newline$ Is $(-1,7)$ 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

2 x+5 y>-6

\newline

-4 x+3 y \leq 2

\newline

(-1,7)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Step $1$ : Check inequality for point $(-1, 7)$ : Check if the point $(-1, 7)$ satisfies the inequality 2x + 5y > -6. $\newline$ Substitute $x = -1$ and $y = 7$ into the inequality 2x + 5y > -6. $\newline$ 2(-1) + 5(7) > -6 $\newline$ -2 + 35 > -6 $\newline$ 33 > -6 $\newline$ The point $(-1, 7)$ satisfies the inequality 2x + 5y > -6.
Step $2$ : Substitute values into inequality: Check if the point $(-1, 7)$ satisfies the inequality $-4x + 3y \leq 2$ . $\newline$ Substitute $x = -1$ and $y = 7$ into the inequality $-4x + 3y \leq 2$ . $\newline$ $-4(-1) + 3(7) \leq 2$ $\newline$ $4 + 21 \leq 2$ $\newline$ $25 \leq 2$ $\newline$ The point $(-1, 7)$ does not satisfy the inequality $-4x + 3y \leq 2$ .