# Systems of Equations and Inequalities Examples

#### The Graphing Method

When we're asked to solve a system of linear equations for x and y, we're really being asked to find the (x, y) point where these lines meet. Do they meet at (1, 1)? Pittsburgh? The fourth moon of...

#### The Substitution Method

Doesn't the word 'substitute' conjure up some sort of image of a teacher with pointy eyeglasses and a ruler?Hmm…disregard that, we're talking the substitution method, not substitute teacher. But...

#### The Elimination Method

This method for solving systems of equations goes by many names: the addition method, elimination method, or solving by "linear combination." Doesn't that sound like fun?It's not that bad, though....

#### Systems of Linear Inequalities

Sorry, but life isn't always fair, and we have to deal with inequalities—even in math. Now we're going to cover how we deal with systems of linear inequalities. Yes, we know it's not fair. Are yo...

#### Graphing Linear Equations in Three Dimensions

The x and y variables of a system of linear equations match up with the x- and y-axes on a graph. There are two variables for two dimensions. When we add in a third variable, z, that means we trave...

#### Solving Systems with Three Variables

Three equations. Three unknown variables. If they aren't found in time, the whole world's supply of Silly Putty will go up in flames. Only one person can find them in time—and she just called in...