How do you solve #-\frac { 3} { 7} = - \frac { 1} { 3} u + \frac { 1} { 2}#?

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Answer 1 · 2018-06-30T20:09:47

#u=23/14#

#-3/7=-1/3u+1/2#

Multiply through by -3

#1/7=u-3/2#

Add 3/2 to both sides

#u=1/7+3/2=23/14#

Answer 2 · 2018-06-30T20:32:28

#u=23/14#

We want nothing in front of #u#, so to start, we can multiply all terms by #-3#. We now have the following equation:

#1/7-u=-3/2#

Let's subtract #1/7# from both sides to get

#-u=-3/2-1/7#

We can have a common denominator of #14# by multiplying the top and bottom of the first by #7#, and the second top/bottom by #2#. We get

#-u=-21/14-2/14=-23/14#

#-u=-23/14#

Dividing both sides by #-1# gives us

#u=23/14#

Hope this helps!