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Complex Simultaneous Equations

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          W elcome back to my blog. I hope you find this blog interesting. Today's blog post would be short and simple as I would be solving only one math question. I got this question from a friend of mine. The question is on simultaneous equations. I know some people know about this concept already but the question I'm about to solve is a very rare type of simultaneous equation question and I had to think a little to figure out the solution. Let's get back to it.                   Find the values of x and y from the equations below:        X 1/3 + y 1/3 = 6 -----------(i)      x + y = 72 ----------------(ii)     To solve this type of question, you'll have to think of a way to get rid of those exponents in equation (i). One easy way to do that is to introduce a common logarithm or natural logarithm to each term in the equation. I will use natural logarithm for this question like this:     Then using laws of logarithm for exponents, the exponents would become the co