Higher, but Friendly, Simultaneous Equations

 Solving 2 x 2 simultaneous equations becomes a kind of automatic process, which we carry out with little thought, beyond checking arithmetic and signs.  Simple simultaneous equations of higher order can be solved…but they do require a little thought! 

The Problem :

 Solve the five simultaneous equations below to find the values of all five unknowns:

            A+B+C+D = 16

            B+C+D+E = 10

            A+C+D+E =  8

            A+B+D+E =  6

            A+B+C+E =  4

 

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Last modified: June 18, 2007