Question

Find x:y, if 2x+3y/x+8y =1/2​

Answer 1

$\large\sf\underline{Given\::}$

• $\sf\large\:\frac{2x+3y}{x+8y}=\frac{1}{2}$

‎

‎

$\large\sf\underline{To\:find\::}$

• Value of x : y.

‎

‎

$\large\sf\underline{Solution\::}$

$\sf\large\:\frac{2x+3y}{x+8y}=\frac{1}{2}$

‎

• Cross multiplying

‎

$\sf\implies\:2(2x+3y) =1(x+8y)$

$\sf\implies\:4x+6y =x+8y$

‎

• Transposing x to the other side

‎

$\sf\implies\:4x-x+6y= 8y$

$\sf\implies\:3x+6y= 8y$

‎

• Transposing 6y to the other side

‎

$\sf\implies\:3x= 8y-6y$

$\sf\implies\:3x= 2y$

$\sf\implies\:\frac{x}{y}= \frac{2}{3}$

$\large{\mathfrak\red{\implies\:x:y=2:3}}$

‎

‎

!! Hope it helps !!

Answer 2

Step-by-step explanation:

2:3

Hope it will help you...