From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Equations and Inequalities

Equations and Inequalities

Solving Equations with Multiple Variables Exercises

Example 1

The volume V of a rectangular box is given by the formula V = lwh where l is length, w width, and h height. What is the height of a rectangular box with volume 56 cm3, length 4 cm, and width 2 cm?

Example 2

Solve the formula 8x + 4y = 12 for y.

Example 3

Solve the formula z3 – 3x + z2 = z for x.

Example 4

If 4xy = 5, find x when y = 15.

Example 5

If y2 + 2y – 3x = 5, find x when y = 2.