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Is (9, 10) a solution to this system of inequalities?
14x − 13y ≤ –4
20x − 16y > 4
question
key idea
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Question
Is (9, 10) a solution to the system
14x − 13y ≤ −4
20x − 16y > 4 ?
Key idea
A point is a solution if it satisfies both inequalities. Plug x = 9, y = 10 into each and check.
Solution
First: 14(9) − 13(10) = 126 − 130 = −4, and −4 ≤ −4 is true.
Second: 20(9) − 16(10) = 180 − 160 = 20, and 20 > 4 is true.
Both inequalities hold, so (9, 10) is a solution to the system.
Is (9, 10) a solution to the system
14x − 13y ≤ −4
20x − 16y > 4 ?
Key idea
A point is a solution if it satisfies both inequalities. Plug x = 9, y = 10 into each and check.
Solution
First: 14(9) − 13(10) = 126 − 130 = −4, and −4 ≤ −4 is true.
Second: 20(9) − 16(10) = 180 − 160 = 20, and 20 > 4 is true.
Both inequalities hold, so (9, 10) is a solution to the system.
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