Question

−7x+3y > −1

5x−9y > −6 ​ Is ( − 1 , 0 ) is a solution of the system?
a. yes
b. No

Answer 1

After substituting the point (-1, 0) into both inequalities, the first inequality is true, but the second is false. Therefore, the point (-1, 0) is not a solution to the system of inequalities.

Step-by-step explanation:

To determine if the point (-1, 0) is a solution to the system of inequalities:

• −7x + 3y > −1
• 5x −9y > −6

We need to substitute the x and y values from the point into each inequality and check if the inequalities hold true.

For the first inequality −7x + 3y > −1:

−7(−1) + 3(0) = 7 > −1 (True)

For the second inequality 5x −9y > −6:

5(−1) −9(0) = −5 > −6 (False)

Since the second inequality does not hold true for the point (−1, 0), the answer is:

No, the point is not a solution of the system.