Menu

x in the Bottom

Part of the Polynomials & Rational Expressions section of Coddy's Algebra 2 journey. Lesson 38 of 54.

When x sits in a bottom, clear it the same way: multiply by the bottom. In 3/x + 1/2 = 2, multiply both sides by x. The x cancels from 3/x, and the other terms are multiplied by x:

3 + x/2 = 2x

The bottom left is a number, cleared as before: times 2 gives 6 + x = 4x, so 3x is 6 and x is 2. But something is new. The original equation has no value at x = 0, since 3/0 means nothing. Multiplying by x is only safe when x is not 0, so an answer must be checked in the original equation: 3/2 + 1/2 is 2, so x = 2 stands.

Once x stands alone, the board asks you to check it: tap Check x = 2 in the original equation.

challenge icon

Challenge

Solve 2/x + 1/3 = 1, then check your answer in the original equation.

Try it yourself

2/x + 1/3 = 1

Solve for x

quiz iconTest yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Polynomials & Rational Expressions