In these tutorials you are shown how to solve a simultaneous equation by the substitution method. You are also shown how it relates to the intersection of two graphs and why there are two sets of solutions.

## Example 1

#### Example in the video

Solve the simultaneous equations:

- x
^{2}+ y^{2}= 5

x + y = 3

## Example 2

#### Example in the video

Solve the simultaneous equations:

- xy – x = -10

2x + y = 2