9x+4y = 5 Is (1,-2) a solution of the system? Choose 1 answer: (A) Yes (B) No

Step 1: Check first inequality: Check if the point (1, -2) satisfies the inequality 9x + 4y < 8. Substitute x = 1 and y = -2 into the inequality 9x + 4y < 8. 9(1) + 4(-2) < 8 9 - 8 < 8 1 < 8 The point (1, -2) satisfies the first inequality.Step 2: Check second inequality: Check if the point (1, -2) satisfies the inequality -3x - 7y ≥ 5. Substitute x = 1 and y = -2 into the inequality -3x - 7y ≥ 5. -3(1) - 7(-2) ≥ 5 -3 + 14 ≥ 5 11 ≥ 5 The point (1, -2) satisfies the second inequality.Step 3: Determine solution to the system: Determine if the point (1, -2) is a solution to the system of inequalities. Since the point (1, -2) satisfies both inequalities, it is a solution to the system.

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9x+4y < 8

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

9 x+4 y<8 $\newline$ $-3 x-7 y \geq 5$ $\newline$ Is $(1,-2)$ 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

9 x+4 y<8

\newline

-3 x-7 y \geq 5

\newline

(1,-2)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Step $1$ : Check first inequality: Check if the point $(1, -2)$ satisfies the inequality 9x + 4y < 8. $\newline$ Substitute $x = 1$ and $y = -2$ into the inequality 9x + 4y < 8. $\newline$ 9(1) + 4(-2) < 8 $\newline$ 9 - 8 < 8 $\newline$ 1 < 8 $\newline$ The point $(1, -2)$ satisfies the first inequality.
Step $2$ : Check second inequality: Check if the point $(1, -2)$ satisfies the inequality $-3x - 7y \geq 5$ . $\newline$ Substitute $x = 1$ and $y = -2$ into the inequality $-3x - 7y \geq 5$ . $\newline$ $-3(1) - 7(-2) \geq 5$ $\newline$ $-3 + 14 \geq 5$ $\newline$ $11 \geq 5$ $\newline$ The point $(1, -2)$ satisfies the second inequality.
Step $3$ : Determine solution to the system: Determine if the point $(1, -2)$ is a solution to the system of inequalities. $\newline$ Since the point $(1, -2)$ satisfies both inequalities, it is a solution to the system.