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Is (3,9)(3,9) a solution to this system of equations?\newliney=5x+9y = 5x + 9\newliney=x+6y = x + 6\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (3,9)(3,9) a solution to this system of equations?\newliney=5x+9y = 5x + 9\newliney=x+6y = x + 6\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute and Check: First, we will substitute the point (3,9)(3,9) into the first equation and check if it holds true. The first equation is y=5x+9y = 5x + 9. If we substitute x=3x=3 and y=9y=9, we get 9=5×3+99 = 5\times3 + 9.
  2. Verify First Equation: After performing the calculation, we find that 9=15+99 = 15 + 9, which is not true because 99 does not equal 2424. Therefore, the point (3,9)(3,9) does not satisfy the first equation.
  3. Conclusion: Since the point (3,9)(3,9) does not satisfy the first equation, there is no need to check the second equation. We can conclude that (3,9)(3,9) is not a solution to the system of equations.

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