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Is (2,1) a solution to this system of equations?

8x+7y=11
x+y=3
yes or no

1 answer

To determine if (2, 1) is a solution to the system of equations, we need to substitute \( x = 2 \) and \( y = 1 \) into both equations.

  1. Check the first equation: \( 8x + 7y = 11 \) \[ 8(2) + 7(1) = 16 + 7 = 23 \quad \text{(not equal to 11)} \]

  2. Check the second equation: \( x + y = 3 \) \[ 2 + 1 = 3 \quad \text{(equals 3)} \]

Since (2, 1) does not satisfy the first equation, it is not a solution to the system of equations.

Answer: No