SOLUTION: x+y=7.4. & x^x+y^y=514.2

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Question 1183434: x+y=7.4. & x^x+y^y=514.2



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I seriously doubt there is a purely algebraic way to solve this problem.

Solve the first equation for one variable in terms of the other, substitute in the second equation, and solve using a graphing calculator.

y=7.4-x

x%5Ex%2B%287.4-x%29%5E%287.4-x%29=514.2

A graph....

graph%28400%2C400%2C-1%2C5%2C-200%2C1000%2Cx%5Ex%2B%287.4-x%29%5E%287.4-x%29%2C514.2%29

Numerical approximate answers:
x=3.142
x=4.258