equations
posted by help pls .
solve for x and y
x+y=5
and x^x + y^y = 31
i have found x,y = 2,3 or 3,2
but i got the answer by merely substituting the values...
is there any proper way to find x and y??

this equation is not easily to solve algebraically.
x^x + (5x)^(5x) = 31
can't take logs, or roots, or anything easy. Not sure what doing this kind of exercise is intended to teach.
Respond to this Question
Similar Questions

Geometry :(
this maths problem is wrecking my head.... 1.find the points of interesction of the line L and the circle k in the following L:x2y=0 K:X Squared + y squared=25 I would solve both equations for y, and then you'll have a system with … 
calculus
This was a multiple choice question asking which of the following is an equation of the line tangent to the graph of f(x)=x^4+2x^2 at the point where f'(x)=1? 
Algebra
Can someone please help solve this? Solve by using addition or substitution or addition. 10x+2y=7 y=5x+3 the answer my got was x=11/10 y=2 My teacher said that was wrong. Never mind this post I found out how to solve it. Try substitution. 
math
How do you solve system of equations and tell if they're consistant and independant,consistant and dependent,and inconsistant? 
Calculus again
Find the equation of the tangent to y=2xe^x at the point where x=0 So I found the first derivative by doing the sum rule and product rule. I got e^(x)(x1) Then I found the slope by substituting 0 for x and got 1. Then I found y … 
Math
You are given two equations which are both true, and you are asked to solve for both x and y. You plan to solve this set of equations by substituting part of one equation into the other so you end up with an equation that contains … 
Physics...
Question In an experiment a gas was found to obey the following equation of state: (P + 10^3)V = 2.5 x 10^4 J Find the work done when the gas expands from 1 m3 to 3 m3. _______ the answer is suppose to be 2.55 x 104J ____________ what … 
PHYSICSS
Question In an experiment a gas was found to obey the following equation of state: (P + 10^3)V = 2.5 x 10^4 J Find the work done when the gas expands from 1 m3 to 3 m3. _______ the answer is suppose to be 2.55 x 104J ____________ what … 
Algebra
we are doing sloving system of linear equations by substituting 1)y=5x 2x+3y=34 i got (2,10) 2)x=4y 2x+3y=44 i got (16,4) 3)x=4y+5 x=3y2 i got (23,7) 4)y=2x+3 y=4x1 i got (2,7) 5)4c=3d+3 c=d1 i got (6,7) 
lorentz contraction
I've tried for hours to solve for v, but can't get the rearranging right. I'm using L= Lo sqrt 1 v^2/c^2 Can anyone suggest the first couple of steps?