SOLUTION: solve for x: 1) a/b(2x-12)=c/d 2) a-c/x-a=m

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Question 94007This question is from textbook
: solve for x:
1) a/b(2x-12)=c/d
2) a-c/x-a=m
This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
1) %28a%2Fb%29%282x-12%29 = c%2Fd
:
multiply equation by b:
a(2x - 12) = bc%2Fd
:
divide both sides by a:
2x - 12 = bc%2Fad
:
Add 12 to both sides:
2x = bc%2Fad + 12
:
Divide both sides by 2
x = bc%2F%282ad%29 + 12%2F2
:
x = bc%2F%282ad%29 + 6
:
:
Assume the problem is
2) %28%28a-c%29%29%2F%28%28x-a%29%29 = m
:
Cross multiply and you have:
m(x-a) = a - c
:
Divide both sides by m:
x - a = %28%28a-c%29%29%2Fm
:
Add a to both sides:
x = a + %28%28a-c%29%29%2Fm
:
They may want it further simplified:
x = %28%28am+%2B+%28a+-+c%29%29%29%2Fm = %28a%28m%2B1%29-+c%29%2Fm
:
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