How do you solve #\frac { y - 1} { 3} = \frac { y + 1} { 6}#?

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Answer 1 · 2017-05-30T06:00:28

#y=3#

#(y-1)/3=(y+1)/6#

To proceed, the fractions have to be changed to share the same common denominator.

Multiply each side by their lowest common multiple, #3*6=18#

#18# x#(y-1)/3=(y+1)/6#x#18#

#(6(y-1))/1=(3(y+1))/1#

Now they share the same denominator of 1.

#6y-6=3y+3#

#6y-3y=3+6#

#3y=9#

#y=9/3 =3#