Chapter 1: Q77. (page 27)

If $- 6 x + 10 = 17$ , then $3 x - 5 =$
A. $- \frac{7}{6}$
B. $- \frac{17}{2}$
C. 2
D. $\frac{19}{3}$
E. $\frac{5}{3}$

Short Answer

Expert verified

The correct option is $- \frac{17}{2}$ .

Step by step solution

Step 1- Observe the provided equation

The expression is half of the left side of the complete equation with opposite signs.

– Determine the required value

Perform division of $- 2$ on both sides of the provided equation.

$\begin{matrix} \frac{- 6 x}{- 2} + \frac{10}{- 2} = \frac{17}{- 2} \\ 3 x - 5 = - \frac{17}{2} \end{matrix}$

Step 3- Make the conclusion

As the provided expression is equivalent to the number $- \frac{17}{2}$ so it is the correct option.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

If $- 6 x + 10 = 17$ , then $3 x - 5 =$
A. $- \frac{7}{6}$
B. $- \frac{17}{2}$
C. 2
D. $\frac{19}{3}$
E. $\frac{5}{3}$

Short Answer

Step by step solution

Step 1- Observe the provided equation

– Determine the required value

Step 3- Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Discrete Mathematics

Geometry

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

If -6x+10=17, then 3x-5=A. -76B. -172C. 2D. 193E. 53

Short Answer

Step by step solution

Step 1- Observe the provided equation

– Determine the required value

Step 3- Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Discrete Mathematics

Geometry

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

If $- 6 x + 10 = 17$ , then $3 x - 5 =$
A. $- \frac{7}{6}$
B. $- \frac{17}{2}$
C. 2
D. $\frac{19}{3}$
E. $\frac{5}{3}$