Equations that have the same solution set.

- Converting an equation to solve it produces equivalent equations.
- Systems of equations may also be equivalent if they have the same solution set.

### Symbol

The equivalence of equations is indicated by using the logical equivalence symbol “⇔”, which is read “is equivalent to”.

### Example

The equations 5*x* – 6 = 3*x* + 2 and *x* = 4 are equivalent equations.

This can be written as 5*x* – 6 = 3*x* + 2 ⇔ *x* = 4.