GMAT Math : Solving linear equations with one unknown

Study concepts, example questions & explanations for GMAT Math

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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?

Possible Answers:

Correct answer:

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 

Possible Answers:

Correct answer:

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!

So, our answer is 29

Example Question #33 : Solving Linear Equations With One Unknown

Solve  and .

Possible Answers:

Correct answer:

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.

Example Question #31 : Solving Linear Equations With One Unknown

Solve for :

Possible Answers:

Correct answer:

Explanation:

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