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The eighth chapter titled ''Fangcheng'' of the ''Nine Chapters'' book contains 18 problems. (There are a total of 288 problems in the whole book.) Each of these 18 problems reduces to a problem of solving a system of simultaneous linear equations. Except for one problem, namely Problem 13, all the problems are determinate in the sense that the number of unknowns is same as the number of equations. There are problems involving 2, 3, 4 and 5 unknowns. The table below shows how many unknowns are there in the various problems:
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! Number of unknowns<br /> in the problem !! Number of equations<br /> in the problem !! Serial numbers of problems !! Number of problems || Determinacy
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