Question

Please help me 33/2 + 3y/5 = 7y/10 + 15

Answer 1

We are given with an equation in variable y and we need to solve for y . So , now let's start !!!

We are given with ;

`{:\implies \quad \sf (33)/(2)+(3y)/(5)=(7y)/(10)+15}`

Take LCM on both sides :

`{:\implies \quad \sf (165+6y)/(10)=(7y+150)/(10)}`

Multiplying both sides by 10 ;

`{:\implies \quad \sf \cancel{10}* \frac{165+6y}{\cancel{10}}=\cancel{10}* \frac{7y+150}{\cancel{10}}}`

`{:\implies \quad \sf 165+6y=7y+150}`

Can be further written as ;

`{:\implies \quad \sf 7y+150=165+6y}`

Transposing 6y to LHS and 150 to RHS

`{:\implies \quad \sf 7y-6y=165-150}`

`{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}`