SOLUTION: Hope I have the right section here, I have multiple variables... The equation I'm needing help with is: .75 = a/(a + v) Solve for v How can I get v on one side of the = by i

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Question 135983: Hope I have the right section here, I have multiple variables... The equation I'm needing help with is:
.75 = a/(a + v)
Solve for v
How can I get v on one side of the = by itself? Thanks for any help/suggestions!
Found 2 solutions by Fombitz, ptaylor:
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
Let's change 0.75 to 3/4 first.
3%2F4+=+a%2F%28a%2Bv%29
To get rid of the denominators, multiply both sides by 4(a+v).
cross%284%29%28a%2Bv%293%2Fcross%284%29=4cross%28%28a%2Bv%29%29a%2Fcross%28%28a%2Bv%29%29
3%28a%2Bv%29=4a%29 Simplify.
3a%2B3v=4a%29 Distribute.
3a-3a%2B3v=4a-3a Subtract 3a from both sides.
3v=a Simplfy.
v=a%2F3 Divide both sides by 3.

Answer by ptaylor(1894) About Me  (Show Source):
You can put this solution on YOUR website!
Hope I have the right section here, I have multiple variables... The equation I'm needing help with is:
.75 = a/(a + v)
Solve for v

First, lets multiply each side by (a+v). That will get rid of the fraction
0.75(a+v)=a(a+v)/(a+v) and this equals
0.75(a+v)=a now get rid of the parens (distributive law)
0.75a+0.75v=a subtract 0.75a from each side
0.75a-0.75a+0.75v=a-0.75a collect like terms
0.75v=0.25a divide each side by 0.75
v=0.25a/0.75 and this equals(1/3)a
therefore
v=(1/3)a
CK
0.75= a/(a+(1/3)a)
0.75=a/(4/3)a
0.75=1/(4/3) multiply the numerator and denominator of the right side by 3/4
0.75=(3/4)/1 or 3/4
0.75=0.75

Hope this helps---ptaylor