Question 1183434
<br>
I seriously doubt there is a purely algebraic way to solve this problem.<br>
Solve the first equation for one variable in terms of the other, substitute in the second equation, and solve using a graphing calculator.<br>
{{{y=7.4-x}}}<br>
{{{x^x+(7.4-x)^(7.4-x)=514.2}}}<br>
A graph....<br>
{{{graph(400,400,-1,5,-200,1000,x^x+(7.4-x)^(7.4-x),514.2)}}}<br>
Numerical approximate answers:
x=3.142
x=4.258<br>