Question

solve:
8 root x-15 root y=-root of xy, 10/root x+8/root y=4 where x, y is not equal to zero
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Answer 1

Answer:

x= 25, y = 16

Step-by-step explanation:

Given Equations :

• 8√x - 15√y = - √xy --- ( 1 )
• 10/√x + 8/√y = 4 ----- ( 2 )

On simplifying ( 1 )

⇒ ( 8√x - 15√x ) / √xy = - 1

⇒ 8√x /√xy - 15√y/√xy = - 1

⇒ - 15 /√ x +  8/√y = - 1 ---- ( 3 )

Subtracting ( 3 ) from ( 2 )

⇒ 10/√x + 8/√y - ( - 15/√x + 8/√y ) = 4 - ( - 1 )

⇒ 25/√x = 5

⇒ 25/5 = √x

⇒ 5 = √x

⇒ 25 = x

Substituting √x = 5 in ( 1 )

⇒ 8√x - 15√y = - √xy

⇒ 8( 5 ) - 15√y = - 5√y

⇒ 40 = - 5√y + 15√y

⇒ 40 = 10√y

⇒ 4 = √y

⇒ 16 = y

Hence the value of x is 25 and y is 16.

Answer 2

Step-by-step explanation:

here x=25 and y=16 hope you understood this ☺️