How do you solve #\frac { 3} { y + 6} = \frac { 2} { y - 6}#?

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Answer 1 · 2017-07-01T05:46:07

#y=30#

#3/(y+6)=2/(y-6)#

Multiply both sides by #(y+6)(y-6)#.

#3/(y+6)xx(y+6)(y-6)=2/(y-6)xx(y+6)(y-6)#

#3/(1cancel(y+6))xx1cancel(y+6)(y-6)=2/(1cancel(y-6))xx(y+6)1cancel(y-6)#

#3xx(y-6)=2xx(y+6)#

Open the brackets and simplify.

#3y-18=2y+12#

Subtract #2y# from each side.

#3y-2y-18=2y-2y+12#

#y-18=12#

Add #18# to each side.

#y-18+18=12+18#

#y=30#