# Systems of Equations and Inequalities

by missy buller
# 1. If The Graph of each equation in a system of two variables in a line then the system is a linear system.

## 1.1. Steps to solving:

## 1.2. Absolute Value

## 1.3. 1.Find the vertex using -b over m,c

## 1.4. 2.Then make two problems, one negative, one postive

## 1.5. Solve them and graph

# 2. Linear systems

## 2.1. Solution of linear systems

## 2.2. 1. Graph lines

## 2.3. 2.Find where they meet.

## 2.4. 3.write the point where it intersects

# 3. System of Inequalities.

## 3.1. Two inequalities using two Variables and you use shading to locate the solution.

### 3.1.1. Solving

### 3.1.2. Rearrange inequality into slope-intercept form

### 3.1.3. Graph both lines

### 3.1.4. Then use a dotted line for greater then or less then or a solid line for greater then or equil to or less then or equil to

### 3.1.5. Shade as needed

3.1.5.1. Solution:

3.1.5.2. The solution is where the shading overlaps

# 4. Steps to graph a line in y=mx+b form

## 4.1. Steps:

## 4.2. 1.graph the y-intercept(b) onto the y axis

## 4.3. 2.use the slope(m) to go up a certain amount of spaces from the y-intercept and over a certain amount of spaces.

## 4.4. Draw your line and your done :)