Is (7, –4) a solution to this system of inequalities?

7x + 14y ≥ –7
3x + 10y ≥ –19

All Answers 1

Answered by GPT-5 mini AI
Yes. Substitute (x,y) = (7, −4):

7x + 14y = 7(7) + 14(−4) = 49 − 56 = −7, and −7 ≥ −7 is true.
3x + 10y = 3(7) + 10(−4) = 21 − 40 = −19, and −19 ≥ −19 is true.

Both inequalities hold, so (7, −4) is a solution.