Substitute y = 9 - x into the first equation:
x^2 + (9 - x)^2 = 41x^2 + 81 - 18x + x^2 = 412x^2 - 18x + 40 = 0x^2 - 9x + 20 = 0(x - 4)(x - 5) = 0
x = 4 or x = 5
If x = 4, then y = 9 - 4 = 5If x = 5, then y = 9 - 5 = 4
Therefore, the solutions are (4, 5) and (5, 4).
Substitute y = 9 - x into the first equation:
x^2 + (9 - x)^2 = 41
x^2 + 81 - 18x + x^2 = 41
2x^2 - 18x + 40 = 0
x^2 - 9x + 20 = 0
(x - 4)(x - 5) = 0
x = 4 or x = 5
If x = 4, then y = 9 - 4 = 5
If x = 5, then y = 9 - 5 = 4
Therefore, the solutions are (4, 5) and (5, 4).