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Is (1,7) a solution to this system of equations?

x+2y=15
2x+2y=16

1 answer

To determine if (1, 7) is a solution to the system of equations, we need to substitute \( x = 1 \) and \( y = 7 \) into both equations.

  1. For the first equation: \[ x + 2y = 15 \] Substitute \( x = 1 \) and \( y = 7 \): \[ 1 + 2(7) = 1 + 14 = 15 \] This equation holds true.

  2. For the second equation: \[ 2x + 2y = 16 \] Substitute \( x = 1 \) and \( y = 7 \): \[ 2(1) + 2(7) = 2 + 14 = 16 \] This equation also holds true.

Since (1, 7) satisfies both equations, it is a solution to the system of equations.