Linear Systems

Solve Problems Using Linear Systems

Now you know a number of different ways to solve a system of linear equations. You can solve: graphically by hand algebraically by elimination algebraically by substitution In this section, you learn how to create equations from word problems, then apply any one of the methods above to solve them. The…

Solving by Elimination

You have now seen how to solve a linear system by graphing, it’s now time to see how it’s done algebraically. Solving by graphing definitely has its limitations: it’s slow, takes up space, and not very accurate if you don’t have the right tools to graph or if the coefficient…

The Method of Substitution

You have now seen how to solve a linear system by graphing or by elimination. There is yet another algebraic method known as substitution. This method involves solving a linear system by substituting for one variable from one equation into the other equation. Remember that with each new method, you have…