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Is (1,1)(1,1) a solution to this system of equations?\newline6x+11y=176x + 11y = 17\newline5x+y=65x + 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+11y=176x + 11y = 17\newline5x+y=65x + 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+11y=176x + 11y = 17\newlineSubstitute x=1x = 1 and y=1y = 1 into the equation:\newline6(1)+11(1)=176(1) + 11(1) = 17\newline6+11=176 + 11 = 17\newline17=1717 = 17\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:\newline5x+y=65x + y = 6\newlineSubstitute x=1x = 1 and y=1y = 1 into the equation:\newline5(1)+1=65(1) + 1 = 6\newline5+1=65 + 1 = 6\newline6=66 = 6\newlineThe point (1,1)(1, 1) satisfies the second equation.
  3. Conclude Solution: Since the point (1,1)(1, 1) satisfies both equations in the system, we can conclude that (1,1)(1, 1) is indeed a solution to the system of equations.

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