How do you solve #-\frac { 4} { 3} v + 4= - \frac { 1} { 5} v - \frac { 1} { 5}#?

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Answer 1 · 2016-12-16T21:35:20

#v=3.70588#

You need to get rid of the denominator by multiplying everything by the product of the denominators: #3*5*5=75#

#75*-4/3v + 75*4 = 75*-1/5v-75*1/5#

#-100v + 300 = -15v -15#

Re-arrange:
#-100v + 100v + 300 + 15 = -15v + 100 v - 15 + 15

#315 = 85v#

#315/85 = 85v/85#

#3.70588 = v#