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Is (3, 3)(3,\,3) a solution to this system of inequalities?\newline13x + 3y > 16\newline5x + y > 11\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (3, 3)(3,\,3) a solution to this system of inequalities?\newline13x+3y>1613x + 3y > 16\newline5x+y>115x + y > 11\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Does the point (3,3)(3, 3) satisfy the inequality 13x + 3y > 16?\newlineSubstitute 33 for xx and 33 for yy in 13x + 3y > 16.\newline13(3) + 3(3) > 16\newline39 + 9 > 16\newline48 > 16\newlineSince 48 > 16 is true, (3,3)(3, 3) satisfies the first inequality.
  2. Check Second Inequality: Does the point (3,3)(3, 3) satisfy the inequality 5x + y > 11?\newlineSubstitute 33 for xx and 33 for yy in 5x + y > 11.\newline5(3) + 3 > 11\newline15 + 3 > 11\newline18 > 11\newlineSince 18 > 11 is true, (3,3)(3, 3) satisfies the second inequality.
  3. Verify Solution to System: Is (3,3)(3, 3) a solution to the system of inequalities?\newlineSince (3,3)(3, 3) satisfies both inequalities in the system, it is indeed a solution to the system of inequalities.

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