# Linear Systems

## Translate Statements Into Algebraic Expressions

To change sentences into mathematical expressions and equations, look for important words like these: Common Identifier Translates to Increased, Sum, More $+$ (plus) Decreased, difference, less $–$ (minus) Twice, doubled $\times 2$ Tripled $\times 3$ The same $=$

## 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…

## Finding the Point of Intersection by Graphing Lines

The point of intersection is when, on a graph, two or more lines meet each other. Let’s start a with a video showing us four separate examples of how to graph a straight line. Keep in mind that you first learned this in grade 9, so let’s consider this as…