# Basic Arithmetic : Solving Linear Equations with Fractions

## Example Questions

### Example Question #1 : Solving Linear Equations With Fractions

Solve for x

Explanation:

Start by adding 10 to both sides.

Multiply both side by 9 to get rid of the fraction.

Divide by 5

Since all the answer choices have mixed fractions, you will also need to reduce down to a mixed fraction

### Example Question #1 : Solving Linear Equations With Fractions

Solve for .

Explanation:

Add both sides by 9 to isolate the x on one side.

Multiply both sides by 5.

Divide boths ides b 9.

### Example Question #1 : Solving Linear Equations With Fractions

Solve for .

Explanation:

First, add 10 to both sides so the term with "z" is isolated on one side.

To get rid of the fraction, multiply both sides by 3.

Divide by 2.

### Example Question #11 : Linear Equations With Fractions

Solve for

Explanation:

Start by adding the terms with  together. Find the least common denominator for the two fractions.

Now, multiply both sides by 10.

Then divide both sides by 23.

### Example Question #1 : Solving Linear Equations With Fractions

Solve for .

Explanation:

Start by adding 9 to both sides.

Next, multiply both sides by 3.

Finally, divide both sides by 2.

Solve for