5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically
Solution by Substitution • Solution by Addition or Subtraction
The graphical method of solving two linear equations in two unknowns is good for getting a “picture” of the solution. One problem is that graphical methods usually give approximate results, although the accuracy obtained when using a calculator is excellent. If exact solutions are required, we turn to other methods. In this section, we present two algebraic methods of solution.
SOLUTION BY SUBSTITUTION
The first method involves the elimination of one variable by substitution. The basic idea of this method is to solve one of the equations for one of the unknowns and substitute this into the other equation. ...
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