# 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)