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Is (4,9)(4,9) a solution to this system of equations?\newliney=8x+5y = 8x + 5\newliney=x+5y = x + 5\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (4,9)(4,9) a solution to this system of equations?\newliney=8x+5y = 8x + 5\newliney=x+5y = x + 5\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute and Check: First, we will substitute the point (4,9)(4,9) into the first equation and check if it holds true. The first equation is y=8x+5y = 8x + 5. If we substitute x=4x=4 and y=9y=9, we get 9=8×4+59 = 8\times4 + 5.
  2. Calculation Result: After performing the calculation, we find that 9=32+59 = 3^2 + 5, which simplifies to 9=379 = 37. This is not true. Therefore, the point (4,9)(4,9) does not satisfy the first equation.
  3. Conclusion: Since the point (4,9)(4,9) does not satisfy the first equation, there is no need to check the second equation. The point (4,9)(4,9) cannot be a solution to the system of equations if it does not satisfy both equations.

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