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Is (3,7) a solution to this system of equations?

x+y=10
9x+6y=6
yes or no

1 answer

To determine if (3,7) is a solution to the system of equations, we need to substitute \( x = 3 \) and \( y = 7 \) into both equations.

  1. For the first equation \( x + y = 10 \): \[ 3 + 7 = 10 \] This is true.

  2. For the second equation \( 9x + 6y = 6 \): \[ 9(3) + 6(7) = 27 + 42 = 69 \] This is not equal to 6.

Since (3, 7) does not satisfy the second equation, the answer is no, (3, 7) is not a solution to the system of equations.