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Math Help - a linear equation in 2 variables problem

  1. #1
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    Question 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..
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  2. #2
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    Quote Originally Posted by anandcu3 View Post
    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?
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  3. #3
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    Quote Originally Posted by pickslides View Post
    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..
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  4. #4
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    Quote Originally Posted by anandcu3 View Post

    x√x + y√y = 183

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

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

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

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

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

    Sub this answer into

    Quote Originally Posted by anandcu3 View Post

    x√y + y√x = 182
    what do you get?
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