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Is (1,10)(1,10) a solution to this system of equations?\newliney=9x+1y = 9x + 1\newliney=x+8y = x + 8\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,10)(1,10) a solution to this system of equations?\newliney=9x+1y = 9x + 1\newliney=x+8y = x + 8\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Equation: To determine if the point (1,10)(1,10) is a solution to the system of equations, we need to check if the point satisfies both equations. Let's start with the first equation:\newliney=9x+1y = 9x + 1\newlineSubstitute x=1x = 1 and y=10y = 10 into the equation to see if the equation holds true:\newline10=9(1)+110 = 9(1) + 1
  2. Calculate First Equation: Now, let's perform the calculation:\newline10=9×1+110 = 9 \times 1 + 1\newline10=9+110 = 9 + 1\newline10=1010 = 10\newlineThis shows that the point (1,10)(1,10) satisfies the first equation.
  3. Check Second Equation: Next, we need to check if the point (1,10)(1,10) satisfies the second equation:\newliney=x+8y = x + 8\newlineAgain, substitute x=1x = 1 and y=10y = 10 into the equation:\newline10=1+810 = 1 + 8
  4. Calculate Second Equation: Perform the calculation for the second equation:\newline10=1+810 = 1 + 8\newline10=910 = 9\newlineThis shows that the point (1,10)(1,10) does not satisfy the second equation, as 1010 is not equal to 99.
  5. Final Conclusion: Since the point (1,10)(1,10) does not satisfy both equations in the system, it is not a solution to the system of equations. Therefore, the correct choice is:\newline(B) no

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