Rearranging Formula: Make e the Subject | 10b + 5be - 3e + 7c

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Homework Help Overview

The discussion revolves around rearranging the formula 10b + 5be - 3e + 7c to make e the subject. Participants are examining the validity of the initial setup and the steps taken to isolate e.

Discussion Character

  • Assumption checking, Problem interpretation, Mixed

Approaches and Questions Raised

  • Some participants question whether the initial expression is correctly treated as an equation. There is a focus on the necessity of using parentheses in the final expression for e. Others explore the implications of assuming the first line is set equal to zero, which alters the subsequent steps.

Discussion Status

Participants are actively engaging with the problem, offering guidance on the need for parentheses and discussing the implications of different interpretations of the initial expression. There is no explicit consensus on the correct approach yet, as various interpretations are being explored.

Contextual Notes

There is a noted concern regarding the lack of an equation in the initial setup, which affects the ability to solve for e. The discussion also touches on the importance of clarity in mathematical expressions.

Gringo123
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I need to rearrange this formula to make e the subject. Have I done it correctly?

10b + 5be - 3e + 7c
10b + 5be - 3e = 7c
5be - 3e = 7c - 10b
e(5b - 3) = 7c - 10b

e = 7c - 10b / 5b - 3
 
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Gringo123 said:
I need to rearrange this formula to make e the subject. Have I done it correctly?
You're not starting with an equation! Without the first line below being an equation, you can't solve for anything.
Gringo123 said:
10b + 5be - 3e + 7c
10b + 5be - 3e = 7c
5be - 3e = 7c - 10b
e(5b - 3) = 7c - 10b

e = 7c - 10b / 5b - 3
Assuming that this is your starting equation -- 10b + 5be - 3e = 7c -- your work following it is fine, EXCEPT that you need to use parentheses. You should write e this way:
e = (7c - 10b) / (5b - 3)
 
Thanks a lot Mark
 
Mark44 said:
You're not starting with an equation! Without the first line below being an equation, you can't solve for anything.

Assuming that this is your starting equation -- 10b + 5be - 3e = 7c -- your work following it is fine, EXCEPT that you need to use parentheses. You should write e this way:
e = (7c - 10b) / (5b - 3)

Well if we assume that the first line is an equation (set equal to zero): 10b + 5be - 3e + 7c=0, then the second line changes:

10b + 5be - 3e = -7c, and that would change the rest of the steps which follow...
 

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