Forming a formula from a-b=c-d

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Discussion Overview

The discussion revolves around the mathematical relationship a-b=c-d and the derivation of formulas to calculate the variable c, given known values for a, b, and d. Participants explore various expressions for c and question the validity of different approaches.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants propose that c can be expressed as c=a-b+d, which directly follows from the original equation.
  • Others question the derivation of c=a/b*d, suggesting it is incorrect and seeking clarification on its origin.
  • One participant lists multiple valid rearrangements of the original equation, indicating that there are several equivalent forms for c.
  • There is a suggestion that the misunderstanding regarding c=a/b*d may stem from misinterpreting the symbols in the equation.

Areas of Agreement / Disagreement

Participants generally agree on the validity of c=a-b+d, but there is disagreement regarding the expression c=a/b*d, with some asserting it is incorrect. The discussion remains unresolved regarding the legitimacy of the latter expression.

Contextual Notes

Participants have not reached a consensus on the validity of all proposed formulas for c, and there may be assumptions about the interpretation of the original equation that are not explicitly stated.

khazaymeh
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Hi, I am beginner in mathematics , I have the following relationship:

a-b=c-d

I need to calculate c under the assumption that a, b and d are known values.
I got c=a-b+d
and c=a/b*d

can I use any other formulas?!
 
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khazaymeh said:
Hi, I am beginner in mathematics , I have the following relationship:

a-b=c-d

I need to calculate c under the assumption that a, b and d are known values.
I got c=a-b+d
and c=a/b*d

can I use any other formulas?!

c=a-b+d follows directly from the stated relationship. Where did you get c=a/b*d ?
 
khazaymeh said:
Hi, I am beginner in mathematics , I have the following relationship:

a-b=c-d

I need to calculate c under the assumption that a, b and d are known values.
I got c=a-b+d
What you got above is correct. To solve for c, add d to both sides of the equation.

I don't know how you got the equation below, but it's incorrect.
khazaymeh said:
and c=a/b*d

can I use any other formulas?!
The equation you started with is very simple, so the only possible differences are how the three terms on the other side are arranged, with a total of six ways.

c = a - b + d
c = a + d - b
c = d + a - b
c = d - b + a
c = -b + a + d
c = -b + d + a
 
khazaymeh said:
Hi, I am beginner in mathematics , I have the following relationship:

a-b=c-d

I need to calculate c under the assumption that a, b and d are known values.
I got c=a-b+d
and c=a/b*d

can I use any other formulas?!

c=a-b+d follows from a-b=c-d

c=a/b*d follows from a/b=c/d

Did you write it down in a way that your -'s look like /'s ?
 

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