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To use the substitution method, we substitute the value of y from the second equation into the first equation. This gives us x^2 - 4x - 41 = 4. Simplifying this equation gives us x^2 - 4x - 45 = 0. Factoring this equation gives us (x - 9)(x + 5) = 0. Therefore, x = 9 or x = -5.
Substituting these values back into the second equation, we get y = 4 for both x = 9 and x = -5.
Therefore, the correct answer is (-5, 4) and (9, 4).