How do you solve and check your solution given #c-3/5=5/6#?

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Answer 1 · 2017-03-29T04:08:13

#c=43/30#

Given -

#c-3/5=5/6#

#c=5/6+3/5=(25+18)/30=43/30#

#c=43/30#

Check the solution

Substitute #c=43/30# in the equation

#43/30-3/5=5/6#

#(43-18)/30=5/6#

#25/30=5/6#

#5/6=5/6#

Answer 2 · 2017-03-29T04:10:15

#c=43/30#

#c-3/5=5/6#

Add #3/5# to both sides:

#c=5/6+3/5#

#= (25+18)/30#

#= 43/30#

Since #43# is prime this fraction cannot be simplified.

Check:

Replace #c=43/30# in original equation #-> 43/30 - 3/5# should equal #5/6#

#43/30 -3/5 = (43-18)/30 = 25/30#

#= 5/6#

Hence our result is correct.