If you're seeing this message, it means we're having trouble loading external resources for Khan Academy.
If you're behind a web filter, please make sure that the domains
*.kastatic.org and *.kasandbox.org are unblocked.
Solutions to linear equations
Not every linear equation has exactly one solution. Some have no solutions and others might have an infinite number of solutions. This tutorial will give you the intuition on when these different situations arise.
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.
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).
Sal shows how to complete the equation 4(x - 2) + x = 5x + __ so that it has infinitely many solutions.
Sal shows how to complete the equation -11x + 4 = __x + __ so that it has no solutions.
Practice telling whether an equation has one, zero, or infinite solutions.