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Is (1,5)(1,5) a solution to this system of equations?\newline6x+2y=166x + 2y = 16\newlinex+3y=16x + 3y = 16\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,5)(1,5) a solution to this system of equations?\newline6x+2y=166x + 2y = 16\newlinex+3y=16x + 3y = 16\newlineChoices:\newline(A)yes\newline(B)no
  1. Prompt: question_prompt: Is the point (1,5)(1,5) a solution to the given system of equations?
  2. First Equation: Plug in x=1x=1 and y=5y=5 into the first equation 6x+2y=166x + 2y = 16 and see if it's true. So, 6⋅1+2⋅5=6+10=166\cdot1 + 2\cdot5 = 6 + 10 = 16.
  3. Second Equation: The first equation checks out, now let's try the second one, x+3y=16x + 3y = 16. Substitute x=1x=1 and y=5y=5, we get 1+3×5=1+15=161 + 3\times5 = 1 + 15 = 16.
  4. Solution: Both equations are true for (1,5)(1,5), so yeah, it's a solution to the system.

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