How do you solve #\frac { v } { 5} + \frac { 2} { 3} = \frac { 6} { 5} + \frac { v } { 15}#?

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Answer 1 · 2018-03-20T03:01:17

#v=4#

#\frac { v } { 5} + \frac { 2} { 3} = \frac { 6} { 5} + \frac { v } { 15}#

Take the terms with variable #v# on left hand side and keep rest on Right hand side:

#\frac { v } { 5} - \frac { v } { 15} = \frac { 6} { 5} -\frac { 2} { 3} #

Make the denominators equal:

#=> \frac { v } { 5} xx 3/3 - \frac { v } { 15} = \frac { 6} { 5} xx 3/3-\frac { 2} { 3} xx 5/5 #

#=>\frac {3 v } { 15} - \frac { v } { 15} = \frac { 18} { 15} -\frac { 10} {15} #

#=> \frac {3v - v } { 15} = \frac { 18 -10} { 15} #

#=> (2v)/15 = 8/15#

#=> 2v = 8/15 xx 15#

#=> 2v =8#

#=> v = 8/2= 4#

#therefore v=4#