Question

Solve each equation. Check your solution. $$\frac{3}{8} w=5$$

   Solve each equation. Check your solution.
$$\frac{3}{8} w=5$$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 6, Problem 57

Instant Answer

Solved by Expert Katelyn Chen

05/25/2020

Step 1

We can do this by multiplying both sides of the equation by the reciprocal of $\frac{3}{8}$, which is $\frac{8}{3}$. $$\frac{8}{3} \cdot \frac{3}{8} w = \frac{8}{3} \cdot 5$$ Show more…

Show all steps

lock

Thanks for your feedback!

Solve each equation. Check your solution. $$\frac{3}{8} w=5$$

Play audio

Feedback

Powered by NumerAI

Katelyn Chen and 79 other 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

Checking Solutions

Checking a solution involves substituting the calculated value back into the original equation to verify that it satisfies the equation. This step is important as it confirms the accuracy of the solution and catches any potential errors in the solving process. It reinforces understanding and ensures that the solution meets the original problem's requirements.

Linear Equations

Linear equations are equations that involve a variable raised only to the first power. They form the basis of algebra and are often solved by isolating the variable on one side of the equation through inverse operations. Understanding linear equations is crucial as they model many real-world scenarios and are foundational for advanced mathematics.

Multiplicative Inverse

The multiplicative inverse, also known as the reciprocal, is the number that, when multiplied by the given number, results in one. In the context of solving equations with fractions, multiplying both sides by the multiplicative inverse of the fractional coefficient allows for the variable to be isolated. This concept is essential for simplifying and solving equations that involve fractions.

Inverse Operations

Inverse operations are mathematical operations that reverse the effect of another operation. In solving equations, inverse operations are used to isolate the variable by undoing operations applied to it. For example, if a multiplication is done on the variable, division is used to reverse it. Mastery of inverse operations is critical in finding the solution to equations.

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