Elementary Example
The simplest kind of linear system involves two equations and two variables:
One method for solving such a system is as follows. First, solve the top equation for in terms of :
Now substitute this expression for x into the bottom equation:
This results in a single equation involving only the variable . Solving gives, and substituting this back into the equation for yields . This method generalizes to systems with additional variables (see "elimination of variables" below, or the article on elementary algebra.)
Read more about this topic: System Of Linear Equations
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