# Determining number of solutions to linear equations - System of Equations

### Determining number of solutions to linear equations

Depending on whether and how the linear equations in a system touch each other, there will be different number of solutions to the system. There can be one solution, no solution and even infinite solution.

#### Lessons

###### Notes:

**One Solution: Two linear equations intersect at one point. It is a consistent system of independent equation.
**

No Solution:Two linear equations are parallel to each other. It is an inconsistent system.

Infinite Solution:

No Solution:Two linear equations are parallel to each other. It is an inconsistent system.

Infinite Solution: