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Is (2,10)(2,10) a solution to this system of equations?\newliney=4x+2y = 4x + 2\newliney=x+8y = x + 8\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (2,10)(2,10) a solution to this system of equations?\newliney=4x+2y = 4x + 2\newliney=x+8y = x + 8\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Equation: To determine if the point (2,10)(2,10) is a solution to the system of equations, we need to check if the point satisfies both equations.\newlineFirst, we will check if the point satisfies the first equation y=4x+2y = 4x + 2.\newlineSubstitute x=2x = 2 and y=10y = 10 into the first equation:\newline10=4(2)+210 = 4(2) + 2\newline10=8+210 = 8 + 2\newline10=1010 = 10\newlineThis is true, so the point satisfies the first equation.
  2. Check Second Equation: Next, we will check if the point satisfies the second equation y=x+8y = x + 8.\newlineSubstitute x=2x = 2 and y=10y = 10 into the second equation:\newline10=2+810 = 2 + 8\newline10=1010 = 10\newlineThis is also true, so the point satisfies the second equation.
  3. Verify Solution: Since the point (2,10)(2,10) satisfies both equations in the system, it is indeed a solution to the system of equations.

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