It's fine to link algebra to a kithab.
Here it's done for chapter Principles of mathematical induction (class 7).
The chapter asks to make several general equations for different needs.
Here it's for finding number of 'mudd's in case of not performing the fast for 5 years and the fellow dies.
It's link from www.islamonweb.net. Its a best example to show the need of algebra.
To find the article click here.
(NB: A general formula can't be made out of one problem. Check this way for several problems and prove)
To see an illustration click here.
To get into the equation click here
To prove the equation as k and k+1 click here
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