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Is (8,2) a solution to this system of equations?

x+y=10
6x+4y=19
yes or no

1 answer

To determine if (8, 2) is a solution to the system of equations, we need to substitute x = 8 and y = 2 into both equations.

  1. For the first equation \( x + y = 10 \): \[ 8 + 2 = 10 \] This is true.

  2. For the second equation \( 6x + 4y = 19 \): \[ 6(8) + 4(2) = 48 + 8 = 56 \] This is not true since 56 does not equal 19.

Since (8, 2) does not satisfy the second equation, the answer is no.