Solving Linear Equations: Number of Solutions

Vocabulary and solution types for linear equations based on the Edia practice problem.

$$-7y = -8y + 3$$

A linear equation that has exactly one unique solution, found by adding $8y$ to both sides to get $y = 3$.

One solution

A classification where an equation is satisfied by only a single, distinct value for the variable.

No solutions

A classification where there is no value of the variable that makes the equation true.

Infinite solutions

A classification where any real value of the variable satisfies the equation, making it an identity.