Question

if X = 3/2 and y= 5/2 find x/y - y/x​

Answer 1

Answer:

$\frac{-16}{15}$

Step-by-step explanation:

$x = \frac{3}{2}$

$y = \frac{5}{2}$

So, the value of

$\frac{x}{y} - \frac{y}{x}$

$= \frac{ \frac{3}{2} }{ \frac{5}{2} } - \frac{ \frac{5}{2} }{ \frac{3}{2} }$

$= \frac{3}{2} \div \frac{5}{ 2} - \frac{5}{2} \div \frac{3}{2}$

$= \frac{3}{2} \times \frac{2}{5} - \frac{5}{2} \times \frac{2}{3}$

$= \frac{3}{5} - \frac{5}{3}$

$= \frac{9 - 25}{15}$

$= \frac{</em></strong><strong><em>-</em></strong><strong><em>16}{15} (answer)$

HOPE IT HELPS.

THANK YOU.

Answer 2

Step-by-step explanation:

Answer:

\frac{-16}{15}

15

−16

Step-by-step explanation:

x = \frac{3}{2}x=

2

3

y = \frac{5}{2}y=

2

5

So, the value of

\frac{x}{y} - \frac{y}{x}

y

x

−

x

y

= \frac{ \frac{3}{2} }{ \frac{5}{2} } - \frac{ \frac{5}{2} }{ \frac{3}{2} }=

2

5

2

3

−

2

3

2

5

= \frac{3}{2} \div \frac{5}{ 2} - \frac{5}{2} \div \frac{3}{2}=

2

3

÷

2

5

−

2

5

÷

2

3

= \frac{3}{2} \times \frac{2}{5} - \frac{5}{2} \times \frac{2}{3}=

2

3

×

5

2

−

2

5

×

3

2

= \frac{3}{5} - \frac{5}{3}=

5

3

−

3

5

= \frac{9 - 25}{15}=

15

9−25

= \frac{ < /em > < /strong > < strong > < em > - < /em > < /strong > < strong > < em > 16}{15} (answer)=

15

</em></strong><strong><em>−</em></strong><strong><em>16

follow the above one please follow the above one