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Is (1,8)(1,8) a solution to this system of equations?\newliney=4x+4y = 4x + 4\newliney=6x+2y = 6x + 2\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,8)(1,8) a solution to this system of equations?\newliney=4x+4y = 4x + 4\newliney=6x+2y = 6x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute and Verify: First, we will substitute the point (1,8)(1,8) into the first equation and check if it holds true. The first equation is y=4x+4y = 4x + 4. If we substitute x=1x=1 and y=8y=8, we get 8=4×1+48 = 4\times1 + 4.
  2. Check First Equation: After performing the calculation, we find that 8=4+48 = 4 + 4, which is true. Therefore, the point (1,8)(1,8) satisfies the first equation.
  3. Check Second Equation: Next, we will substitute the point (1,8)(1,8) into the second equation and check if it holds true. The second equation is y=6x+2y = 6x + 2. If we substitute x=1x=1 and y=8y=8, we get 8=6×1+28 = 6 \times 1 + 2.
  4. Verify Second Equation: After performing the calculation, we find that 8=6+28 = 6 + 2, which is also true. Therefore, the point (1,8)(1,8) satisfies the second equation as well.
  5. Solution Confirmation: Since the point (1,8)(1,8) satisfies both equations, it is a solution to the system of equations.

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