How do you solve #-\frac { 5} { 4} - \frac { 3} { 5} u = - \frac { 4} { 3}#?

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Answer 1 · 2017-06-12T02:53:05

#u = 5/36#

First, multiply by #-1# to get rid of all of the negative signs. That'll make things easier from there on.

#5/4 + 3/5u = 4/3#

Now, multiply by the common denominator of the 3 fractions, which is #3*4*5 = 60#.

#5/4*60 + 3/5*60*u = 4/3*60#

#5*15 + 3*12*u = 4*20#

#75 + 36u = 80#

Subtract 75 from both sides:

#36u = 5#

And finally divide both sides by 36:

#u = 5/36#

Final Answer