How to Solve Simultaneous Equations Involving λ and m?

[GreenTea09]

Lumda λ = 1.42
i tried to make m the subject and substituting Eqn 1 with Eqn 2 but end up getting stucked here everytime..

 

[SteamKing]

Try taking equations 1 and 2 from the OP and squaring each first. That gets rid of the square root.

You can solve Equation 1 for λ^2 and then substitute this into Eq. 2. You should then be able to solve for m in terms of n.

This is called eliminating the common factor.

 

[GreenTea09]

ive tried,there is a (m+1/2)λ which makes my elimination of m isn't possible(at least for me)..
i tried squaring both sides for equation(2) which ends up with a m^2*λ^2 + mλ^2 ...