# GED Math : Solving for the Variable

## Example Questions

### Example Question #61 : Solving For The Variable

Solve:

Explanation:

Add six on both sides.

Divide by 7 on both sides.

### Example Question #62 : Solving For The Variable

Solve:

Explanation:

Multiply by four on both sides to eliminate the fraction.

Simplify both sides.

Subtract  from both sides.

Divide by negative seven on both sides.

### Example Question #63 : Solving For The Variable

Solve for the variable:

Explanation:

Add 18 on both sides.

Divide by 5 on both sides.

### Example Question #61 : Solving For The Variable

Solve:

Explanation:

To isolate the x-variable, multiply both sides by the reciprocal of the fraction in front of the x-variable.

Simplify both sides.

### Example Question #61 : Solving For The Variable

Solve for the variable:

Explanation:

Multiply by seven on both sides.

Add 21 on both sides.

Divide by 14 on both sides.

Reduce both fractions.

### Example Question #64 : Solving For The Variable

Solve for :

Explanation:

Subtract  from both sides.

Simplify both sides.

### Example Question #61 : Solving For The Variable

Solve for :

Explanation:

Multiply both sides by the least common denominator to cancel out the fractions.

Subtract 14 on both sides.

Divide by 3 on both sides.

### Example Question #62 : Solving For The Variable

Given the following equation, find the value of b when

Explanation:

Given the following equation, find the value of b when

This may look a little messy up front, but don't worry, it's not overly complicated.

All we need to do is plug in -3 for w and solve for b.

Let's begin:

Now add our numbers:

Now we can simplify our fraction to get:

From her on out it is just subtraction and addition:

So our answer is 5

### Example Question #64 : Solving For The Variable

Solve for .

Explanation:

Start by adding  to both sides.

Next, square both sides to get rid of the square root.

Subtract  from both sides.

Finally, divide both sides by .

Solve for :