Equations: One solution, No solution, Infinite solutions

An equation that can be solved to find a single value for the variable. Example: $$2x = x - 6$$ has one solution.

An equation that has no values for the variable that can satisfy it. Example: $$x + 2 = x - 3$$ has no solution.

An equation that is true for all values of the variable. Example: $$2x = 2x$$ has infinite solutions.

By simplifying the equation and checking if it leads to a true statement, a false statement, or a variable identity.

It means the equation has infinite solutions. Example: $$9x - 2 = -2 + 9x$$ simplifies to a true statement.

It means the equation has no solutions. Example: $$x + 1 = x - 1$$ simplifies to a false statement.

The solution is y = 16, which means there is one solution.

The solution is x = 28, which means there is one solution.

The variable represents an unknown value that we are trying to solve for.

An equation that makes a straight line when graphed. It typically has the form $$ax + b = c$$ .