Question

Is (2, 3) a solution of the system?
−8x+4y>3
6x−7y<−5
a) Yes
b) No

Answer 1

To determine if (2, 3) is a solution of the system, substitute the values x=2 and y=3 into the inequalities. The point (2, 3) is not a solution to either inequality, so the answer is No.

Step-by-step explanation:

To determine if (2, 3) is a solution of the system, we substitute the values x=2 and y=3 into the inequalities.

For the first inequality, -8x+4y>3:

-8(2)+4(3) > 3

-16+12 > 3

-4 > 3

Since -4 is not greater than 3, the point (2, 3) is not a solution to this inequality.

For the second inequality, 6x-7y<-5:

6(2)-7(3) < -5

12-21 < -5

-9 < -5

Since -9 is less than -5, the point (2, 3) is not a solution to this inequality.

Therefore, the answer is b) No.