# GMAT Math : Solving linear equations with one unknown

## Example Questions

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### Example Question #31 : Solving Linear Equations With One Unknown

A number, when added to the product of  and , yields . What is the number?

Explanation:

The first step in solving this problem is to write out an equation with the information provided:

where  represents the number we are seeking.

We then solve for our number:

### Example Question #32 : Solving Linear Equations With One Unknown

Find the value of  when

Explanation:

Find the value of g(z) when

To solve this equation, we need to substitute the given value of z into our function and simplify. Let's begin!

### Example Question #33 : Solving Linear Equations With One Unknown

Solve  and .

Explanation:

Stack the two equations on top of each other. The easiest method to solving two equations for two unknowns is to manipulate one of the equations, so that the leading coefficient in front of the variable matches the other equation. Then, you can simply add or subtract the equation, solve for one variable, and plug that answer into the other equation.

Solve for :