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Is (3, 6)(3,\,6) a solution to this system of inequalities?\newline3x+y≤153x + y \leq 15\newline11x+12y≤1911x + 12y \leq 19\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (3, 6)(3,\,6) a solution to this system of inequalities?\newline3x+y≤153x + y \leq 15\newline11x+12y≤1911x + 12y \leq 19\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (3,6)(3, 6): Check if the point (3,6)(3, 6) satisfies the inequality 3x+y≤153x + y \leq 15.\newlineSubstitute x=3x = 3 and y=6y = 6 into the inequality.\newline3(3)+6≤153(3) + 6 \leq 15\newline9+6≤159 + 6 \leq 15\newline15≤1515 \leq 15
  2. Substitute Values: Check if the point (3,6)(3, 6) satisfies the inequality 11x+12y≤1911x + 12y \leq 19.\newlineSubstitute x=3x = 3 and y=6y = 6 into the inequality.\newline11(3)+12(6)≤1911(3) + 12(6) \leq 19\newline33+72≤1933 + 72 \leq 19\newline105≤19105 \leq 19

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