Question

if 0.75x = 0.02y then the
value of (y-x/y+x) is​

Answer 1

Answer:

75x = 2y

37.5x = y

y-x = 37.5x -x

= 36.5

x+y = 38.5

y-x/y+x = 36.5/38.5

= 73/ 77

Step-by-step explanation:

Answer 2

The  value of $\dfrac{y-x}{y+x}$is $\dfrac{73}{77}.$

Step-by-step explanation:

We have,

0.75x = 0.02y

To find, the value of $\dfrac{y-x}{y+x}$ = ?

∴ 0.75x = 0.02y

⇒ $\dfrac{x}{y}=\dfrac{0.02}{0.75} =\dfrac{2}{75}$

∴ $=\dfrac{\dfrac{y-x}{y} }{\dfrac{y+x}{y}}$

$= \dfrac{1-\dfrac{x}{y} }{1+\dfrac{x}{y}}$

$= \dfrac{1-\dfrac{2}{75} }{1+\dfrac{2}{75}}=\dfrac{75-2}{75+2}$

$=\dfrac{73}{77}$

Hence, the  value of $\dfrac{y-x}{y+x}$ is $\dfrac{73}{77}$.