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

2 Answers

6 votes

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

User Samgak
by
7.8k points
10 votes

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
User Kiran LM
by
8.4k points

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