Question

Solve each equation. $$ \frac{6}{3 y}+\frac{3}{y}=1 $$

   Solve each equation.
$$
\frac{6}{3 y}+\frac{3}{y}=1
$$

Algebra A Combined Function

Algebra A Combined Function

Elayn Martin-Gay 4th Edition

Chapter 7, Problem 26

Instant Answer

Solved by Expert Victor Salazar

02/11/2022

Step 1

This gives us: $$3y \cdot \frac{6}{3y} + 3y \cdot \frac{3}{y} = 3y \cdot 1$$ Show more…

Show all steps

lock

Thanks for your feedback!

Solve each equation. $$ \frac{6}{3 y}+\frac{3}{y}=1 $$

Play audio

Feedback

Powered by NumerAI

Victor Salazar and 84 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Rational Equations

This concept involves equations that include fractions with variable expressions in the denominators. Solving rational equations typically requires techniques that eliminate the fractions so that standard algebraic methods can be applied.

Clearing Denominators

A key step in solving rational equations is to multiply both sides of the equation by the least common denominator (LCD) of all the fractions involved. This process removes the fractions and transforms the equation into a simpler form.

Simplification of Rational Expressions

Simplifying rational expressions involves reducing fractions by canceling common factors in the numerator and denominator. This step makes it easier to combine like terms and solve the equation.

Domain Restrictions

When dealing with rational equations, it is important to identify values that make any denominator equal to zero, as these values are not allowed. Recognizing and excluding these restricted values ensures that the solutions found are valid.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later