Question

If 3x - 2y = xy, then
6/y-4/x=?
​

Answer 1

$\dfrac{6}{y}-\dfrac{4}{x}$ = 2

Step-by-step explanation:

We have,

3x - 2y = xy                     ............ (1)

To find, $\dfrac{6}{y}-\dfrac{4}{x}=?$

Dividing xy in equation (1), we get

$\dfrac{3x - 2y }{xy}$= $\dfrac{ xy}{ xy}$                  

⇒  $\dfrac{3}{y}-\dfrac{2}{x}$ = 1           ............ (2)

Multiplying by 2 equation (2), we get

$2(\dfrac{3}{y}-\dfrac{2}{x})$ = 2 × 1  

⇒  $\dfrac{6}{y}-\dfrac{4}{x}$ = 2

∴ $\dfrac{6}{y}-\dfrac{4}{x}$ = 2

Answer 2

Answer:

$6 \div y - 4 \div x = 2$