How do you solve #\frac { 6w - 2} { 5} - \frac { 5w - 4} { 6} = 1#?

1 Answer
Andrew B.
Mar 3, 2017

#w=2#

Explanation:

#(6w-2)/5-(5w-4)/6=1#

Get common denominators by multiplying the first term by #6/6# and the second by #5/5#. Notice that this doesn't change the value of the expression since we are essentially multiplying by #1#.

#6/6*(6w-2)/5-5/5*(5w-4)/6=1#

#(36w-12)/30-(25w-20)/30=1#

#(36w-12-(25w-20))/30=1#

#(36w-12-25w+20)/30=1#

#36w-12-25w+20=30#

#11w+8=30#

#11w=22#

#w=2#

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