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Is (1,3)(1,\,3) a solution to this system of inequalities?\newline6x+4y186x + 4y \leq 18\newlinex+20y5x + 20y \leq 5\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,3)(1,\,3) a solution to this system of inequalities?\newline6x+4y186x + 4y \leq 18\newlinex+20y5x + 20y \leq 5\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point Satisfaction: Does the point (1,3)(1, 3) satisfy the inequality 6x+4y186x + 4y \leq 18?\newlineSubstitute x=1x = 1 and y=3y = 3 into the inequality 6x+4y186x + 4y \leq 18.\newline6(1)+4(3)186(1) + 4(3) \leq 18\newline6+12186 + 12 \leq 18\newline181818 \leq 18\newlineThe point (1,3)(1, 3) satisfies the inequality 6x+4y186x + 4y \leq 18.
  2. Check Inequality Satisfaction: Does the point (1,3)(1, 3) satisfy the inequality x+20y5x + 20y \leq 5?\newlineSubstitute x=1x = 1 and y=3y = 3 into the inequality x+20y5x + 20y \leq 5.\newline1+20(3)51 + 20(3) \leq 5\newline1+6051 + 60 \leq 5\newline61561 \leq 5\newlineThe point (1,3)(1, 3) does not satisfy the inequality x+20y5x + 20y \leq 5.
  3. Solution to System: Is (1,3)(1, 3) a solution to the system of inequalities?\newlineSince the point (1,3)(1, 3) does not satisfy both inequalities, it is not a solution to the system of inequalities.

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