# Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

### Popular Tutorials in Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

#### How Do You Solve a Two-Step Equation by Multiplying by -1?

Got a negative variable in an equation? Want to get rid of that negative sign? This tutorial shows you how by using the multiplication property of -1!

#### How Do You Solve for a Variable in a Fraction Using Multiplication First?

Trying to solve an equation involving a fraction? Just multiply the fraction away and then perform the order of operations in reverse! See how in this tutorial.

#### How Do You Solve an Identity Equation?

Trying to solve an equation with variables on both sides of the equation? Figure out how to get those variables together and solve the equation with this tutorial!

#### How Do You Solve an Equation with No Solution?

Trying to solve an equation with variables on both sides of the equation? Figure out how to get those variables together and solve the equation with this tutorial! Surprise! Turns out, this equation has no solution. Check out this tutorial and see why!

#### How Do You Solve an Equation with Variables on Both Sides and Grouping Symbols?

Trying to solve an equation with variables on both sides of the equal sign and grouping symbols? Watch this tutorial to figure out how remove the grouping symbols and get those variables together to solve the equation.

#### How Do You Solve a Two-Step Equation by Multiplying by -1 First?

Got a negative variable in an equation? Want to get rid of that negative sign? This tutorial shows you how by using the multiplication property of -1!

#### What is an Identity Equation?

Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you'll ALWAYS get a true statement. Learn about identity equations in this tutorial, and then create your own identity equation. Get creative! The possibilities are endless!

#### What Does It Mean When An Equation Has No Solution?

Sometimes equations have no solution. This means that no matter what value is plugged in for the variable, you will ALWAYS get a contradiction. Watch this tutorial and learn what it takes for an equation to have no solution.

#### How Do You Solve an Equation with Variables on Both Sides?

Trying to solve an equation with variables on both sides of the equal sign? Figure out how to get those variables together and find the answer with this tutorial!

#### How Do You Solve an Equation Using Addition?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.

#### How Do You Solve an Equation Using Multiplication?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.

#### How Do You Solve a Multi-Step Equation Using Order of Operations in Reverse?

Trying to solve an equation with variables and fractions? Just perform the order of operations in reverse! To see what it takes, watch this tutorial.

#### How Do You Solve a Two-Step Equation?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.

#### How Do You Solve an Equation Using Division?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.

#### How Do You Solve an Equation Using Subtraction?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.

#### How Do You Solve a Multi-Step Equation Using the Distributive Property?

Trying to solve an equation where you see the same variable more than once? Figure out how to get those variables together and solve the equation with this tutorial!