﻿ How to solve systems of linear equations by graphing , examples, pictures, practice. The first step is to graph both equations and then you...

# How to solve systems of equations by Graphing

Step by step tutorial for systems of linear equations (in 2 variables)

### The Graph Method

Step 1

Graph both equations Step 2

On the right, the graph of the two lines

The solution of the system is the point of intersection : (1,2) ### Practice Problems

Step 1 Step 2
Step 1 is to Graph both equations

The solution of this system is the point of intersection : (1,3). Step 1

Rewrite each equation in slope intercept form

$$\text{ A) } 2y = 4x + 2 \\ \frac{1}{2} 2y = \frac{1}{2}(4x+2) \\ y = 2x +1$$

$$\text{ B) } 2y = 8x - 2 \\ \frac{1}{2} 2y = \frac{1}{2}( 8x - 2) \\ y = 4x +1$$

This system of lines is the same system that we looked at in the last example.

Step 2

Graph each equation to find the point of intersection --which is the solution. (same as earlier problem) ### Ultimate Math Solver (Free)

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