Question

show that x+y:x-y=3:2

Answer 1

hope this may halp you

Answer 2

x + y : x - y = 3 : 2, proved.

Step-by-step explanation:

We have,

x + y : x - y = 3 : 2

To prove that, x + y : x - y = 3 : 2.

x + y = 3         ....(1)

And,

x - y = 2         ....(2)

Adding (1) and (2), we get

x + y + x - y = 3 + 2

⇒ 2x = 5

⇒ x = $\dfrac{5}{2}$

Put x = $\dfrac{5}{2}$ in (1), we get

$\dfrac{5}{2}$ + y = 3

⇒ y = 3 - $\dfrac{5}{2}$=$\dfrac{6-5}{2} =\dfrac{1}{2}$

∴ x + y : x - y = $(\dfrac{5}{2}+ \dfrac{1}{2}) : (\dfrac{5}{2}+ \dfrac{1}{2})$

= 3 : 2

Hence, x + y : x - y = 3 : 2, proved.