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

Question

asked Nov 21, 2023 207k views

1 Answer

Prasadvk · Answer 1 · 2023-11-27T23:46:06+0000

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

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

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