Solving One Variable Equations PRACTICE

A one-variable equation is an equation that contains only one variable, which can be solved to find the value of that variable.

An equation has no solution when there are no values for the variable that can satisfy the equation.

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

No solution.

The solution is $$y = -7$$ .

Distribute the 3 to both terms inside the parentheses.

The solution is $$x = \frac{1}{3}$$ .

An equation has infinitely many solutions when any value for the variable satisfies the equation.

The solution is $$x = -5$$ .

Substitute the solution back into the original equation to verify that both sides are equal.