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Is (1,3)(1,3) a solution to this system of equations?\newline8x+y=118x + y = 11\newline12x+2y=1812x + 2y = 18\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,3)(1,3) a solution to this system of equations?\newline8x+y=118x + y = 11\newline12x+2y=1812x + 2y = 18\newlineChoices:\newline(A)yes\newline(B)no
  1. Question Prompt: question_prompt: Does the point (1,3)(1,3) satisfy the given system of equations?
  2. First Equation Calculation: Plug in x=1x=1 and y=3y=3 into the first equation 8x+y=118x + y = 11. So we get 8⋅1+3=118\cdot1 + 3 = 11.
  3. First Equation Verification: After calculating, we find that 8+3=118 + 3 = 11, which is true. So, (1,3)(1,3) satisfies the first equation.
  4. Second Equation Calculation: Now, plug in x=1x=1 and y=3y=3 into the second equation 12x+2y=1812x + 2y = 18. So we get 12⋅1+2⋅3=1812\cdot1 + 2\cdot3 = 18.
  5. Second Equation Verification: After calculating, we find that 12+6=1812 + 6 = 18, which is also true. So, (1,3)(1,3) satisfies the second equation too.
  6. Solution Verification: Since (1,3)(1,3) satisfies both equations, it's a solution to the system.

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