Question

Solve for c

a(b-c)=d

1. c=ab − da

2. c=ab + da

3. c=ab − db

4. c=d − aba

Answer 1

isolate the variable by dividing each side by factors that don't contain the variable I believe the correct answer is 1. c=ab-da

Answer 2

The simplified form in terms of c is
`c=b-(d)/(a)`

Explanation:

Consider the provided equation.

`a(b-c)=d`

Divide both sides by a.

`(a(b-c))/(a)=(d)/(a)`

`b-c=(d)/(a)`

Subtract b from both sides.

`b-b-c=(d)/(a)-b`

`-c=(d)/(a)-b`

This can be written as:

`c=-(d)/(a)+b` or
`c=b-(d)/(a)`

Hence the simplified form in terms of c is
`c=b-(d)/(a)`