How do you solve #\frac{3}{v+7}=\frac{9}{2}#?

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Answer 1 · 2016-09-28T20:22:13

#v=19/3 or 6 1/3#

#3/(v+7) = 9/2#

When you have a proportion, cross multiply

Multiply #3xx2#
#3xx2=6#

Multiply #9(v+7)# by distributing the 9 to the v and 7
#9(v+7)=9v+63#

Set 6 and #9v+63# equal to each other
#9v+63=6#

Subtract 63 on both sides of the equation
#9v=-57#

Isolate v by dividing by 9 on both sides of the equation
#v=19/3 or 6 1/3#