Question

Solve for Y and simplify y/9=8/12

Answer 1

We are given with an expression and we need to solve for y , so let's start with the given first :

`{:\implies \quad \sf (y)/(9)=(8)/(12)}`

Multiply both sides by 9 ;

`{:\implies \quad \sf 9* (y)/(9)=9* (8)/(12)}`

Simplifying will yield ;

`{:\implies \quad \bf \therefore \quad \underline{\underline{y=6}}}`

Henceforth, the required value is 6

Answer 2

Given Equation :

`\qquad \sf \dashrightarrow \: (y)/(9) = ( 8)/(12)`

To Find :

• The value of y

By doing cross multiplication we get :

`\qquad \sf \dashrightarrow \: y(12) = 9(8)`

`\qquad \sf \dashrightarrow \: 12y = 72`

Dividing both sides by 12 we get :

`\qquad \sf \dashrightarrow \: (12y)/(12) = (72)/(12)`

`\qquad \bf \dashrightarrow \: y = 6`

To Check :

`\sf \dashrightarrow L. H.S = (y)/(9) \\ \\ \sf \dashrightarrow L. H.S = (6)/(9) \\ \\ \sf \dashrightarrow L. H.S = (2)/(3) \\`

`\sf \dashrightarrow R. H.S = (8)/(12) \\ \\ \sf \dashrightarrow R. H.S = (2)/(3)`

Therefore,

• L.H.S = R.H.S