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Is (1,10) a solution to this system of equations?y=8x+2y=7x+3

Question

Is (1,10) a solution to this system of equations?y=8x+2y=7x+3

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Solution

Sure, let's check if the point (1,10) is a solution to the system of equations:

  1. Substitute x=1 and y=10 into the first equation:

    10 = 8(1) + 2 10 = 8 + 2 10 = 10

    The first equation is true.

  2. Substitute x=1 and y=10 into the second equation:

    10 = 7(1) + 3 10 = 7 + 3 10 = 10

    The second equation is also true.

Since (1,10) makes both equations true, it is a solution to the system of equations.

This problem has been solved

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