Solving 3z/2=z/6+4: Is it Right?

  • Thread starter Thread starter thomas576
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around solving the equation 3z/2 = z/6 + 4, focusing on the correctness of the original poster's approach and calculations.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to solve the equation through cross-multiplication but questions the validity of their result. A participant points out a potential oversight in the original calculation regarding the multiplication of constants. Another participant offers an alternative method involving multiplying both sides by 6, leading to a different solution.

Discussion Status

The discussion is active, with participants providing feedback on the original poster's method and exploring alternative approaches. There is no explicit consensus on the correct solution, as different interpretations and methods are being examined.

Contextual Notes

Participants are navigating through potential errors in the original setup and calculations, with some expressing confusion about the steps involved. The nature of the homework problem may impose specific methods or approaches that are being questioned.

thomas576
Messages
20
Reaction score
1
3z/2=z/6+4

so

i x multiply and get
18z=2z+8
16z=8

z=1/2

this look right?

thanks
 
Physics news on Phys.org
Unfortunately no; you forgot to multiply your constant with 6 as well
(with the "constant", I mean the lone "4" in your original equation)
 
hmm

ok you lost me /shrug
 
3z/2=z/6+4
1. Multiply both sides of the equation with 6:
6*(3z/2)=6*(z/6+4)
OR:
18z/2=6z/6+6*4
Or:
9z=z+24
That is:
8z=24
Whereby:
z=3

Note:
I didn't bother with your cross-multiplication; that was an unnecessary operation.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
2K
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
874
  • · Replies 4 ·
Replies
4
Views
973
  • · Replies 16 ·
Replies
16
Views
3K