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Is (1,1)(1,1) a solution to this system of equations?\newline6x+14y=206x + 14y = 20\newline8x+y=68x + y = 6\newlineChoices:\newline(A) yes\newline(B) no

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Q. Is (1,1)(1,1) a solution to this system of equations?\newline6x+14y=206x + 14y = 20\newline8x+y=68x + y = 6\newlineChoices:\newline(A) yes\newline(B) no
  1. Check First Equation: We need to check if the point (1,1)(1, 1) satisfies the first equation:\newline6x+14y=206x + 14y = 20\newlineSubstitute x=1x = 1 and y=1y = 1 into the equation:\newline6(1)+14(1)=206(1) + 14(1) = 20\newline6+14=206 + 14 = 20\newline20=2020 = 20\newlineThe point (1,1)(1, 1) satisfies the first equation.
  2. Check Second Equation: Now, we need to check if the point (1,1)(1, 1) satisfies the second equation:\newline8x+y=68x + y = 6\newlineSubstitute x=1x = 1 and y=1y = 1 into the equation:\newline8(1)+1=68(1) + 1 = 6\newline8+1=68 + 1 = 6\newline9≠69 \neq 6\newlineThe point (1,1)(1, 1) does not satisfy the second equation.

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