Question

Solve the equation and check the solution. $$\frac{a}{5}=-8$$

Name: Problem 21, Chapter 1: Intermediate Algebra
Uploaded: 2020-06-16T06:23:19-08:00
Duration: 49 s
Channel: Ankit Gupta
Description: Solve the equation and check the solution. (a)/(5)=-8

   Solve the equation and check the solution.
$$\frac{a}{5}=-8$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 1, Problem 21

Instant Answer

Solved by Expert Ankit Gupta

06/16/2020

Step 1

To solve for $a$, we need to isolate $a$ on one side of the equation. We can do this by multiplying both sides of the equation by 5. This gives us $a = -8 \times 5$. Show more…

Show all steps

Thanks for your feedback!

Solve the equation and check the solution. $$\frac{a}{5}=-8$$

Play audio

Feedback

Ankit Gupta and 53 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

Solution Verification

After obtaining a solution, it is essential to substitute it back into the original equation to ensure that both sides of the equation balance. Verification confirms the accuracy of the solution and helps identify any potential arithmetic errors during the solving process.

Multiplication Property of Equality

This principle states that multiplying both sides of an equation by the same nonzero number preserves the equality. It is used to eliminate fractions or coefficients attached to variables, thereby simplifying the equation and making it easier to solve.

Linear Equations

This concept involves equations where the unknown variable appears to the first power and solutions can be found using systematic techniques such as isolation of the variable. It forms the basis for much of algebra and introduces strategies for solving equations in a structured way.

Please give Ace some feedback