To determine if (1, 5) is a solution to the given system of equations, we can substitute \(x = 1\) and \(y = 5\) into both equations and see if both are satisfied.
For the first equation: \[ 17x + 5y = 8 \] Substituting \(x = 1\) and \(y = 5\): \[ 17(1) + 5(5) = 17 + 25 = 42 \quad \text{(not equal to 8)} \]
For the second equation: \[ 14x + 2y = -4 \] Substituting \(x = 1\) and \(y = 5\): \[ 14(1) + 2(5) = 14 + 10 = 24 \quad \text{(not equal to -4)} \]
Since (1, 5) does not satisfy either equation, the answer is no, (1, 5) is not a solution to the system of equations.