How do you solve #\frac { 5} { 4} t + \frac { 1} { 4} = - \frac { 1} { 7} t + \frac { 1} { 7}#?

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Answer 1 · 2016-11-02T02:25:39

#t=-1/13#

#5/4t+1/4=-1/7t+1/7#

Since each side has a common denominator, this can also be written as:

#(5t+1)/4=(-t+1)/7#

Multiply both sides by #28# and simplify.

#28xx(5t+1)/4=28xx(-t+1)/7#

#7xx(5t+1)=4xx(-t+1)#

#35t+7=-4t+4#

Add #4t# to each side.

#39t+7=4#

Subtract #7# from both sides.

#39t=-3#

Divide both sides by #39#.

#t=-3/39#

#t=-1/13#