Absolute Equations

In this Problem, you need to know about the symbol ‘|a|’, that means the ‘absolute’, or positive, value of the number a.

 So, for example, |-5| = |5| = 5.

The Problem:

 A         How many pairs of integer values of x and y can you find to satisfy both these equations simultaneously ?: 

                                    |x| + |y| = 3                   and                  |x - y| = 3

 B         And these two ?

                                     |x + y| = 4                    and                  |x - y| = 8

 C         What difference now ?

                                     |x + y| = 8                    and                  |x - y| = 4

 

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Last modified: June 18, 2007