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Home » Solving Equations » Literal Equations

# Solving Literal Equations

## Example 1

## Example 2

## Other Lessons You Might Like on Solving Equations

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**Literal equations can be tough because less numbers are used. However, you solve these equations exactly the same way, you may just have more variables in your final answer.**

I know that in your Math studies, you have come across numerous formulas. Most of these formulas have probably involved geometry!

Have you ever been given a formula, and needed to solve for a variable within the formula? For example, let's take the distance formula. D = rt. Let's say that you know the distance is 50 ft and the time to travel was 5 minutes. You need to find the rate travelled. In this case, you need to solve for a variable within the formula (rate), and not the standard, (distance).

Yes, I know these problems are always a little more difficult. I'm going to show you a step that will make this problem easier to solve. We are going to be solving **literal equations** and this means that we will be solving a formula for a given variable.

We are going to use all of the rules that we've learned for solving equations to solve **literal equations**. You will need to perform "opposite operations" and whatever you do to one side of the equation you must do to the other side of the equation!

Let's look at a couple of examples.

In this example, we'll use the distance formula that we talked about earlier.

Now let's look at an equation that involves a fraction. Remember to get rid of the fraction first and this will make solving a whole lot easier!

Yes, I know these equations can be tricky. If you are still having trouble, take a look at this video.

If you want to see this example on video, click here to visit my You Tube channel.

Solving Equations Unit

- Balancing Equations
- Solving one-step equations (Addition).
- Solving one-step equations (Subtraction).
- Solving one-step equations (Multiplication).
- Solving one-step division equations.
- Solving two-step equations.
- Using the Distributive Property
- Solving equations with fractions
- Equations with variables on both sides
- Writing equations given a word problem

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