Question

6x - 5y < 11

-3x + 2y <-8
Is (5, 4) a solution of the system of inequalities shown ahon?

Answer 1

Yes

Explanation:

To determine if (5, 4) is a solution, substitute the x and y values into the left side of the inequalities and compare the result to the right side.

6(5) - 5(4) = 30 - 20 = 10 < 11 ← True

- 3(5) + 2(4) = - 15 + 8 = - 7 < - 8 ← True

Since both inequalities are true then (5, 4) is a solution to the system