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Is (1,1)(1,1) a solution to this system of equations?\newline8x+y=98x + y = 9\newline6x+12y=186x + 12y = 18\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,1)(1,1) a solution to this system of equations?\newline8x+y=98x + y = 9\newline6x+12y=186x + 12y = 18\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Equation: question_prompt: Is the point (1,1)(1,1) a solution to the given system of equations?
  2. Verify First Equation: Let's plug in x=1x=1 and y=1y=1 into the first equation, 8x+y=98x + y = 9. So we get 8×1+1=98\times 1 + 1 = 9.
  3. Check Second Equation: Doing the math, 8+18 + 1 equals 99, which is correct. So (1,1)(1,1) works for the first equation.
  4. Verify Second Equation: Now let's try x=1x=1 and y=1y=1 in the second equation, 6x+12y=186x + 12y = 18. We get 6⋅1+12⋅1=186\cdot1 + 12\cdot1 = 18.
  5. Confirm Solution: After calculating, 6+126 + 12 is 1818, which is also right. So (1,1)(1,1) fits the second equation too.
  6. Confirm Solution: After calculating, 6+126 + 12 is 1818, which is also right. So (1,1)(1,1) fits the second equation too. Since (1,1)(1,1) satisfies both equations, it's a solution to the system.

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