{:[-7x+3y > -1],[5x-9y > -6]:} Is (-1,0) a solution of the system? Choose 1 answer: (A) Yes (B) No

Step 1: Check inequality for (-1, 0): Does the point (-1, 0) satisfy the inequality -7x + 3y > -1? Substitute x = -1 and y = 0 in the inequality -7x + 3y > -1. -7(-1) + 3(0) > -1 7 + 0 > -1 7 > -1 The point (-1, 0) satisfies -7x + 3y > -1: YesStep 2: Substitute values in -7x + 3y > -1: Does the point (-1, 0) satisfy the inequality 5x - 9y > -6? Substitute x = -1 and y = 0 in the inequality 5x - 9y > -6. 5(-1) - 9(0) > -6 -5 - 0 > -6 -5 > -6 The point (-1, 0) satisfies 5x - 9y > -6: YesStep 3: Simplify the inequality: Is (-1, 0) a solution to the system of inequalities? Since (-1, 0) satisfies both -7x + 3y > -1 and 5x - 9y > -6, the point (-1, 0) is indeed a solution to the system of inequalities.

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{:[-7x+3y > -1],[5x-9y > -6]:}
Is
(-1,0) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

$\begin{array}{l} -7 x+3 y>-1 \\ 5 x-9 y>-6 \end{array}$ $\newline$ Is $(-1,0)$ 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

\begin{array}{l} -7 x+3 y>-1 \\ 5 x-9 y>-6 \end{array}

\newline

(-1,0)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Step $1$ : Check inequality for $(-1, 0)$ : Does the point $(-1, 0)$ satisfy the inequality -7x + 3y > -1? $\newline$ Substitute $x = -1$ and $y = 0$ in the inequality -7x + 3y > -1. $\newline$ -7(-1) + 3(0) > -1 $\newline$ 7 + 0 > -1 $\newline$ 7 > -1 $\newline$ The point $(-1, 0)$ satisfies -7x + 3y > -1: Yes
Step $2$ : Substitute values in -7x + 3y > -1: Does the point $(-1, 0)$ satisfy the inequality 5x - 9y > -6? $\newline$ Substitute $x = -1$ and $y = 0$ in the inequality 5x - 9y > -6. $\newline$ 5(-1) - 9(0) > -6 $\newline$ -5 - 0 > -6 $\newline$ -5 > -6 $\newline$ The point $(-1, 0)$ satisfies 5x - 9y > -6: Yes
Step $3$ : Simplify the inequality: Is $(-1, 0)$ a solution to the system of inequalities? $\newline$ Since $(-1, 0)$ satisfies both -7x + 3y > -1 and 5x - 9y > -6, the point $(-1, 0)$ is indeed a solution to the system of inequalities.