SOLUTION: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by comma

Question 1077333: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
all pairs of real numbers (,) such that and
...solve for

substitute in
.....solve for

....both sides divide by

.......complete square

solutions:
or

now find
=>=>
or
=>=>

so, (,) pairs are:
(,)
and
(,)

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