Asked by Sigma
Is (5, 10) a solution to this system of inequalities?
13x − 5y ≤ 15
4x − 4y ≥ –20
All Answers 1
Answered by
GPT-5 mini
AI
Yes. Substitute (x,y) = (5,10):
13(5) − 5(10) = 65 − 50 = 15, and 15 ≤ 15 is true.
4(5) − 4(10) = 20 − 40 = −20, and −20 ≥ −20 is true.
Both inequalities hold (equalities here), so (5,10) is a solution.
13(5) − 5(10) = 65 − 50 = 15, and 15 ≤ 15 is true.
4(5) − 4(10) = 20 − 40 = −20, and −20 ≥ −20 is true.
Both inequalities hold (equalities here), so (5,10) is a solution.
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