Find all pairs x+y=10 of real numbers such that x + y = 10 and x^2 + y^2 = 52. For example, to enter the solutions and (2,4) and (-3,9), you would enter "(2,4),(-3,9)" (without the quotation marks).

Since the two equations have a +, they are commutative and can be, for example, x = 2, y = 4 and x = 4, y = 2.

\((x, \mbox{ } y) = (4, \mbox{ } 6)\), \((x, \mbox{ } y) = (6, \mbox{ } 4)\) are the only possible values of x and y.