Problem 18 Solve and check each equation. ... [FREE SOLUTION]

Chapter 6: Problem 18

Solve and check each equation. \(9 x-14=-77\)

Short Answer

Expert verified

The solution to the equation \(9x - 14 = -77\) is \(x = -7\).

Step by step solution

Move Constant to the Other Side

The first step is to move 14 to the other side of the equation. This is done by adding 14 to both sides, changing equation \(9x - 14 = -77\) into \(9x = -77 + 14\). Thus, the new equation is \(9x = -63\).

Solve for 'x'

The second step is solving for 'x', which requires dividing both sides by 9. \(x = -63/9\). Therefore, the value of 'x' is -7.

Check the Solution

Substitute the value of 'x' into the original equation to verify it. The original equation becomes \(9*-7 - 14 = -77\). Simplify to get -77 = -77, which is a true statement, verifying that the solution is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Solve and check each equation. \(9 x-14=-77\)

Short Answer

Step by step solution

Move Constant to the Other Side

Solve for 'x'

Check the Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Pure Maths

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.