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Is (2,8)(2,8) a solution to this system of equations?\newliney=3x+2y = 3x + 2\newliney=4xy = 4x\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (2,8)(2,8) a solution to this system of equations?\newliney=3x+2y = 3x + 2\newliney=4xy = 4x\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute and Verify First Equation: First, we will substitute the point (2,8)(2,8) into the first equation and check if it holds true. The first equation is y=3x+2y = 3x + 2. If we substitute x=2x=2 and y=8y=8, we get 8=3×2+28 = 3\times 2 + 2.
  2. Check First Equation: After performing the calculation, we find that 8=6+28 = 6 + 2, which simplifies to 8=88 = 8. This is true, so the point (2,8)(2,8) satisfies the first equation.
  3. Substitute and Verify Second Equation: Next, we will substitute the point (2,8)(2,8) into the second equation and check if it holds true. The second equation is y=4xy = 4x. If we substitute x=2x=2 and y=8y=8, we get 8=4×28 = 4\times 2.
  4. Check Second Equation: After performing the calculation, we find that 8=88 = 8, which is also true. Therefore, the point (2,8)(2,8) satisfies the second equation as well.
  5. Solution Verification: Since the point (2,8)(2,8) satisfies both equations, it is a solution to the system of equations.

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