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Is (3,6)(3,6) a solution to this system of equations?\newliney=2x+1y = 2x + 1\newliney=4x+6y = 4x + 6\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (3,6)(3,6) a solution to this system of equations?\newliney=2x+1y = 2x + 1\newliney=4x+6y = 4x + 6\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute and Check: First, we will substitute the point (3,6)(3,6) into the first equation and check if it holds true. The first equation is y=2x+1y = 2x + 1. If we substitute x=3x=3 and y=6y=6, we get 6=2×3+16 = 2\times3 + 1.
  2. Verify First Equation: After performing the calculation, we find that 6=6+16 = 6 + 1, which simplifies to 6=76 = 7. This is not true. Therefore, the point (3,6)(3,6) does not satisfy the first equation.
  3. No Solution: Since the point (3,6)(3,6) does not satisfy the first equation, there is no need to check the second equation. The point (3,6)(3,6) cannot be a solution to the system of equations if it does not satisfy both equations.

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