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Problem Solving (PS) | Re: If d = (c - b)/(a - b), then b =

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grgsky wrote:

ScottTargetTestPrep wrote:
Bunuel wrote:
If d = (c - b)/(a - b), then b =


A. (c - d)/(a - d)

B. (c + d)/(a + d)

C. (ca - d)/(ca + d)

D. (c - ad)/(1 - d)

E. (c + ad)/(d -1)

First, we multiply both sides by (a - b) and expand the left side:

d(a - b) = c - b

da - db = c - b

Now, since our goal is to solve for b, we put all terms containing b on the left side of the equation and all other terms on the right side:

b - db = c - da

On the left side of the equation, factor out the common factor b from both terms:

b(1 - d) = c - da

Divide
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