Question

Solve for c. a(b − c)=d

Answer 1

The solution for the equation a(b - c) = d is:

$c = b - \frac{d}{a}$

None of the options is correct

The given equation is:

a(b  -  c)    =   d

Expand the left hand side of the equation using distributive rule

ab  -  ac   =   d

Subtract ab from both sides

ab  -  ab  -  ac  =  d   -  ab

-ac   =   d  -  ab

Multiply both sides by -1

-1(-ac)   =  -1(d  -  ab)

ac     =  ab   -   d

Divide both sides by a

$c = \frac{ab}{a} - \frac{d}{a} \\c = b - \frac{d}{a}$

Learn more here: brainly.com/question/21406377