I tried making a,b,c as subject but it resulted in two variable equation which was unable to be plugged into the 2nd equation and arrive in single variable solution.

So I don't even know where to start actually?

- Thread starter manasan
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I tried making a,b,c as subject but it resulted in two variable equation which was unable to be plugged into the 2nd equation and arrive in single variable solution.

So I don't even know where to start actually?

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\(\displaystyle By\ substituting\ {\text{'k'}}\ I\ got\ \frac{2 k^{2} a^2 b^{4}+3 k^{4} b^{2} d^{2}-5 k^{3} f^{4} e}{2 a^{6} k^{-6}+3 k^{4} a^{2} c^{2}-5 e^{5} k^{-5}}=k^4\\ \text{and I divided by}\ k^4\ \text{and solving lead me to same denominator and numerator on one side and 1 on the other side.}\)

Is this the shortest route or are there any better methods?

What should I do to tackle these kinds of problems easily and quickly next time?

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It doesn't look like you did quite what I suggested, so maybe your work was harder than mine. I replaced a with bk, c with ck, and e with fk everywhere on both sides, and

Try doing what I suggested, and show me your work if it isn't really easy, so I can make suggestions.