SOLUTION: I have to solve for B and I have no clue how to do this The teacher said it can be done in 1-2 steps AB-CD = BD+AC

Question 155338: I have to solve for B and I have no clue how to do this
The teacher said it can be done in 1-2 steps
AB-CD = BD+AC
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(48535) (Show Source):
You can put this solution on YOUR website!
AB-CD = BD+AC
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Get the "B-Terms" together:
AB - BD = AC + CD
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Factor out the "B":
B(A-D) = AC + CD
----------------------
Solve for B:
B = (AC+CD)/(A-D)
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Cheers,
Stan H.

Answer by Alan3354(21583) (Show Source):
You can put this solution on YOUR website!
I have to solve for B and I have no clue how to do this
The teacher said it can be done in 1-2 steps
AB-CD = BD+AC
--------------------
You can only solve for B in terms of the other 3 variables.
Add CD to both sides
AB = BD+AC+CD
Get all terms with B on the same side by subtracting BD from both sides
AB-BD = AC+CD
Factor the terms
B*(A-D) = C*(A+D)
Divide by (A-D) to get B by itself
--------------------
B = C*(A+D)/(A-D)
That's as far as you can go.