Question #a0726

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Answer 1 · 2017-09-04T00:24:25

#t=75/56#

Add #5/7# to both sides

#t = 5/8 + 5/7#

You have #-5/7 + 5/7 = 0# on the left side; #5/8 + 5/7# requires finding of common denominators.

#35/56 + 40/56 = 75/56#

So

#t = 75/56#

Answer 2 · 2017-09-18T06:27:11

#t = 9 3/8#

In the absence of any formatting or parentheses, I wonder if you meant the question to be as follows? It is solved below, just in case.

#(t-5)/7 =5/8#

There is only one fraction on each side of the equation, so you can cross-multiply

#8(t-5) = 7xx5#

#8t-40 = 35" "larr# add 40 to both sides

#8t = 35+40#

#8t =75" "larr# divide both sides by 8

#t = 75/8#

#t = 9 3/8#