**Solution of a linear equation**

**Definition**: A *solution *of a linear equation like is **any** ordered list of numbers that makes the above equation true when we replace by , respectively .

**Example**: is a solution of the equation

*Observe that a linear equation on two variables or more have infinite solutions.*

**Solution of a Linear system**

**Definition:** Solution of a linear system is **any** ordered list that is a solution of **all** equations in the linear system.

**Example:** The list (or the point) is a solution of the following linear system on two variables

**Number of solutions**

A linear system has

- No solution, or
- Exactly one solution, or
- Infinitely many solutions.

**Question:** Why couldn’t there be only two (or three, or four, …) solutions?

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