Q. Is (5,5) a solution to this system of inequalities?19x+13y>17x+11y≥13Choices:(A)yes(B)no
Check Point (5,5): Does the point (5,5) satisfy the inequality 19x + 13y > 17?Substitute x=5 and y=5 into the inequality 19x + 13y > 17.19(5) + 13(5) > 1795 + 65 > 17160 > 17The point (5,5) satisfies the inequality 19x + 13y > 17.
Verify Inequality x+11y: Does the point (5,5) satisfy the inequality x+11y≥13?Substitute x=5 and y=5 into the inequality x+11y≥13.5+11(5)≥135+55≥1360≥13The point (5,5) satisfies the inequality x+11y≥13.
Solution to System: Is (5,5) a solution to the system of inequalities?Since (5,5) satisfies both inequalities 19x + 13y > 17 and x+11y≥13, it is a solution to the system of inequalities.
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