# Thread: a linear equation in 2 variables problem

1. ## a linear equation in 2 variables problem

Solve for 'a' and 'b'.

x√x + y√y = 183
x√y + y√x = 182

Tis is all that is given in the question..
I will be very gateful to one who solves this..

2. Originally Posted by anandcu3
Solve for 'a' and 'b'.

x√x + y√y = 183
x√y + y√x = 182

Where is the a and b in the system? Do you mean x and y?

3. Originally Posted by pickslides
Where is the a and b in the system? Do you mean x and y?
ya..you are right..... i actually meant x and y... sorry about that .... it is an question in entrance test for iit coaching in Hyderabad..

4. Originally Posted by anandcu3

x√x + y√y = 183

$\displaystyle x\sqrt{x}+y\sqrt{y}= 183$

$\displaystyle x^{\frac{3}{2}}+y^{\frac{3}{2}}= 183$

$\displaystyle x^{\frac{3}{2}}= 183-y^{\frac{3}{2}}$

$\displaystyle x^{\frac{1}{2}}= \sqrt[3]{183-y^{\frac{3}{2}}}$

$\displaystyle x= (\sqrt[3]{183-y^{\frac{3}{2}}})^2$

Sub this answer into

Originally Posted by anandcu3

x√y + y√x = 182
what do you get?

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# a√a b√b =183 and a√b b√a =182 equation two solving

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