Find all triples (a, b, c) such that all three of the following equations are satisfied: a(b + c - 5) = 7, b(a + c - 5) = 7, and a^2 + b^2 = 50
Pls help! ◕‿‿◕
triples are (-7, -1, 5), (-5, -5, 43/5), (-1, -7, 5), (1, 7, 5), and (5, 5, 7/5)
JP