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Is (1,1) a solution to this system of equations?9x+y=106x+5y=11

Question

Is (1,1) a solution to this system of equations?9x+y=106x+5y=11

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Solution

Sure, let's check if the point (1,1) is a solution to the system of equations:

  1. Substitute x=1 and y=1 into the first equation:

    9(1) + 1 = 10, which is not equal to 10. So, (1,1) is not a solution to the first equation.

  2. Substitute x=1 and y=1 into the second equation:

    6(1) + 5(1) = 11, which is equal to 11. So, (1,1) is a solution to the second equation.

However, since (1,1) is not a solution to both equations, it is not a solution to the system of equations.

This problem has been solved

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