Tuesday, November 9, 2010

Simultaneous equation

In algebra,If a set of linear functions describe a single situation, then it is called as a set of simultaneous equations.

A set of simultaneous equations can be solved by different methods - Substitution method, Elimination method, Matrix method, Determinant method and Graphical method.


Let us take an example of solving simultaneous equation by elimination method:

Solve the following simultaneous equations by using the elimination method:
2x + 3y = 15 and 4x - 3y = 3
Solution:
Label the equations as follows:
2x + 3y = 15   ...(1)     and     4x - 3y = 3   (2)
Notice that 3y appears on the left-hand side of both equations.  Adding the left-hand side of (1) and (2), and then the right-hand sides, gives:
2x + 3y + 4x - 3y = 15 + 3, so we find x = 3  

 

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