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Is (4,10)(4,10) a solution to this system of equations?\newliney=x+6y = x + 6\newliney=2x+2y = 2x + 2\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (4,10)(4,10) a solution to this system of equations?\newliney=x+6y = x + 6\newliney=2x+2y = 2x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute and Verify: To determine if the point (4,10)(4,10) is a solution to the first equation y=x+6y = x + 6, we substitute xx with 44 and check if the resulting yy-value is 1010.\newlineCalculation: y=4+6=10y = 4 + 6 = 10
  2. First Equation Solution: Since the calculated yy-value is indeed 1010, the point (4,10)(4,10) satisfies the first equation y=x+6y = x + 6.
  3. Substitute and Verify: Next, we need to check if the point (4,10)(4,10) is a solution to the second equation y=2x+2y = 2x + 2 by substituting xx with 44 and checking if the resulting yy-value is 1010.\newlineCalculation: y=2(4)+2=8+2=10y = 2(4) + 2 = 8 + 2 = 10

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