x-6y > 5 7x+2y >= 4 Is (10,-2) a solution of the system? Choose 1 answer: (A) Yes (B) No

Step 1: Check inequality with (10, -2): Does the point (10, -2) satisfy the inequality x-6y > 5? Substitute x = 10 and y = -2 in the inequality x-6y > 5. 10 - 6*(-2) > 5 10 + 12 > 5 22 > 5 The point (10, -2) satisfies the inequality x-6y > 5.Step 2: Substitute values in inequality: Does the point (10, -2) satisfy the inequality 7x+2y >= 4? Substitute x = 10 and y = -2 in the inequality 7x+2y >= 4. 7*10 + 2*(-2) >= 4 70 - 4 >= 4 66 >= 4 The point (10, -2) satisfies the inequality 7x+2y >= 4.Step 3: Simplify the inequality: Is (10, -2) a solution to the system of inequalities? Since (10, -2) satisfies both inequalities x-6y > 5 and 7x+2y >= 4, it is a solution to the system of inequalities.

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x-6y > 5

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

x-6 y>5 $\newline$ $7 x+2 y \geq 4$ $\newline$ Is $(10,-2)$ 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

x-6 y>5

\newline

7 x+2 y \geq 4

\newline

(10,-2)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Step $1$ : Check inequality with $(10, -2)$ : Does the point $(10, -2)$ satisfy the inequality x-6y > 5? $\newline$ Substitute $x = 10$ and $y = -2$ in the inequality x-6y > 5. $\newline$ 10 - 6*(-2) > 5 $\newline$ 10 + 12 > 5 $\newline$ 22 > 5 $\newline$ The point $(10, -2)$ satisfies the inequality x-6y > 5.
Step $2$ : Substitute values in inequality: Does the point $(10, -2)$ satisfy the inequality $7x+2y \geq 4$ ? $\newline$ Substitute $x = 10$ and $y = -2$ in the inequality $7x+2y \geq 4$ . $\newline$ $7\cdot 10 + 2\cdot(-2) \geq 4$ $\newline$ $70 - 4 \geq 4$ $\newline$ $66 \geq 4$ $\newline$ The point $(10, -2)$ satisfies the inequality $7x+2y \geq 4$ .
Step $3$ : Simplify the inequality: Is $(10, -2)$ a solution to the system of inequalities? $\newline$ Since $(10, -2)$ satisfies both inequalities x-6y > 5 and $7x+2y \geq 4$ , it is a solution to the system of inequalities.