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

1 Answer
Feb 6, 2016

Step by step explanation is given blow

Explanation:

4/(9y-6) = 2

Think of this as a proportion

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

We know if a/b = c/d Then b/a = d/c

Basically we are flipping and that would help us

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

Let us multiply 4 on both the sides

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

9y-6 = 2

To solve for y we need to undo all that has been done to it, for this we shall use the inverse operations.

Let us start with -6 we add 6 on both the sides and we get

9y-cancel(6)+cancel(6) = 2+6
9y=8

y is multiplied by 9 to undo it we divide both sides by 9

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

y=8/9

Let us check if our solution is correct by plugging y=8/9 in the original problem.

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.

y=8/9