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Is (1,8)(1,8) a solution to this system of equations?\newliney=x+7y = x + 7\newliney=4x+4y = 4x + 4\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Is (1,8)(1,8) a solution to this system of equations?\newliney=x+7y = x + 7\newliney=4x+4y = 4x + 4\newlineChoices:\newline(A) yes\newline(B) no
  1. Check First Equation: First, we need to check if the point (1,8)(1,8) satisfies the first equation y=x+7y = x + 7. Substitute x=1x = 1 and y=8y = 8 into the equation to see if the equation holds true. 8=1+78 = 1 + 7 8=88 = 8 This is true, so the point (1,8)(1,8) satisfies the first equation.
  2. Check Second Equation: Next, we need to check if the point (1,8)(1,8) satisfies the second equation y=4x+4y = 4x + 4. Substitute x=1x = 1 and y=8y = 8 into the equation to see if the equation holds true. 8=4(1)+48 = 4(1) + 4 8=4+48 = 4 + 4 8=88 = 8 This is true, so the point (1,8)(1,8) also satisfies the second equation.

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