Question

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

Answer 1

Given Equation :

$\qquad \sf \dashrightarrow \: \dfrac{y}{9} = \dfrac{ 8}{12}$

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 :

$\qquad \sf \dashrightarrow \: \dfrac{12y}{12} = \dfrac{72}{12}$

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

To Check :

$\sf \dashrightarrow L. H.S = \dfrac{y}{9} \\ \\ \sf \dashrightarrow L. H.S = \dfrac{6}{9} \\ \\ \sf \dashrightarrow L. H.S = \dfrac{2}{3}$

$\sf \dashrightarrow R. H.S = \dfrac{8}{12} \\ \\ \sf \dashrightarrow R. H.S = \dfrac{2}{3}$

Therefore,

• L.H.S = R.H.S

Answer 2

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

${:\implies \quad \sf \dfrac{y}{9}=\dfrac{8}{12}}$

Multiply both sides by 9 ;

${:\implies \quad \sf 9\times \dfrac{y}{9}=9\times \dfrac{8}{12}}$

Simplifying will yield ;

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

Henceforth, the required value is 6