Q. Is (1,3) a solution to this system of inequalities?6x+4y≤18x+20y≤5Choices:(A)yes(B)no
Check Point Satisfaction: Does the point (1,3) satisfy the inequality 6x+4y≤18?Substitute x=1 and y=3 into the inequality 6x+4y≤18.6(1)+4(3)≤186+12≤1818≤18The point (1,3) satisfies the inequality 6x+4y≤18.
Check Inequality Satisfaction: Does the point (1,3) satisfy the inequality x+20y≤5?Substitute x=1 and y=3 into the inequality x+20y≤5.1+20(3)≤51+60≤561≤5The point (1,3) does not satisfy the inequality x+20y≤5.
Solution to System: Is (1,3) a solution to the system of inequalities?Since the point (1,3) does not satisfy both inequalities, it is not a solution to the system of inequalities.
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