-8x+4y > 3 6x-7y < -5 Is (2,3) a solution of the system? Choose 1 answer: (A) Yes (B) No

Test Point (2,3): Test the point (2,3) in the first inequality -8x+4y > 3. Substitute x = 2 and y = 3 into the inequality. -8(2) + 4(3) > 3 -16 + 12 > 3 -4 > 3Check Result: Check if the result from Step 1 satisfies the inequality. Since -4 is not greater than 3, the point (2,3) does not satisfy the first inequality.No Need to Test: Since the point (2,3) does not satisfy the first inequality, there is no need to test it in the second inequality. The point must satisfy both inequalities to be a solution to the system, and it already fails to satisfy the first one.

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-8x+4y > 3 $\newline$ 6x-7y < -5 $\newline$ Is ( $2$ , $3$ ) a solution of the system? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

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Math Problems

Grade 8

Describe the graph of a linear equation

Full solution

-8x+4y > 3

\newline

6x-7y < -5

\newline

Is (

2

3

) a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Test Point $(2,3)$ : Test the point $(2,3)$ in the first inequality -8x+4y > 3. Substitute $x = 2$ and $y = 3$ into the inequality. -8(2) + 4(3) > 3 -16 + 12 > 3 -4 > 3
Check Result: Check if the result from Step $1$ satisfies the inequality. $\newline$ Since $-4$ is not greater than $3$ , the point $(2,3)$ does not satisfy the first inequality.
No Need to Test: Since the point $(2,3)$ does not satisfy the first inequality, there is no need to test it in the second inequality. $\newline$ The point must satisfy both inequalities to be a solution to the system, and it already fails to satisfy the first one.