# How do you solve #4/(9y-6)=2#?

##### 1 Answer

Step by step explanation is given blow

#### Explanation:

Think of this as a proportion

#4/(9y-6)=2/1#

We know if

Basically we are flipping and that would help us

#(9y-6)/4=1/2#

Let us multiply

#cancel(4)xx(9y-6)/cancel(4)=4xx1/2#

#9y-6 = 2#

To solve for

Let us start with

#9y-cancel(6)+cancel(6) = 2+6#

#9y=8#

#(cancel(9)y)/cancel(9) =8/9#

#y=8/9#

Let us check if our solution is correct by plugging

#4/(9y-6) = 2#

#4/(9(8/9)-6)=2#

#4/(8-6)=2#

#4/2=2#

#2=2 quad# this is a true statement so the solution is valid.