Question

Solve for c.

a(c−b)=d

A)c=d − ab/a

B)c=d − ab/b

C)c=ab − d/a

D)c=d + ab/a

Answer 1

a(c−b)=d
ac - ab = d
ac = d + ab
c = (d + ab) / a

answer is
D. c = (d + ab) / a

Answer 2

Answer: the correct option is

(D)
`c=(d+ab)/(a).`

Step-by-step explanation: We are given to solve the following equation for the value of c :

`a(c-b)=d~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the given equation for c, we need to take c on one side and all other values on the other side of the equation.

The solution for c of equation (i) is as follows :

`a(c-b)=d\\\\\Rightarrow ac-ab=d\\\\\Rightarrow ac=d+ab\\\\\Rightarrow c=(d+ab)/(a).`

Thus, the required value of c is
`c=(d+ab)/(a).`

Option (D) is CORRECT.