# One, zero, and infinite solutions

4 videos
1 skill
Not all linear equations in one variable have exactly one solution. Some have no solutions, others have exactly one, and then still others may have an infinite number of solutions.

### How to tell if an equation has one, zero, or infinite solutions

VIDEO 5:28 minutes
Sal shows how some equations have one solution (like -7x + 3 = 2x + 2) and others have no solutions (like -7x + 3 = 2x + 2 - 9x) and still others have infinite solutions (like -7x + 2 = 2x + 2 - 9x).

### How to tell if an equation doesn't have a solution

VIDEO 1:55 minutes
An equations with NO solution? Is that possible? In this video, Sal attempts to solve 8(3x + 10) = 28x - 14 - 4x only to find that there isn't a solution.

### How to make an equation with no solutions (example)

VIDEO 1:23 minutes
Sal shows how to complete the equation -11x + 4 = __x + __ so that it has no solutions.

### How to make an equation with infinitely many solutions (example)

VIDEO 1:40 minutes
Sal shows how to complete the equation 4(x - 2) + x = 5x + __ so that it has infinitely many solutions.

### Linear equations with one, zero, or infinite solutions

PRACTICE PROBLEMS
Practice telling whether an equation has one, zero, or infinite solutions.