Question

convert the following equation into simultaneous equation and solve:
✓x/y=4,1/x+1/y=1/xy​

Answer 1

ANSWER:-

• x = 2/3 & • y = 1/3.

QUESTION:-

convert the following equation into simultaneous equation and solve:

✓x/y=4,1/x+1/y=1/xy

SOLUTION:-

IN FIRST PART,

⇒√x / y = 4 ------(Given)

⇒.°. x / y = √4

⇒ .°. x / y =2

⇒ .°. x/y = 2/1

here, apply cross multiplication,

⇒ .°. x = 2y ------(1)

IN SECOND PART,

⇒1/x + 1/y =1/xy ----------(Given)

⇒ y + x / xy = 1/xy

⇒ .°. x +y = 1 -------(2)

NOW,

⇒ x + y =1

⇒ 2 y +y =1 -----( from equ. 1)

⇒ 3y = 1

⇒.°. y = ⅓ ------(3)

THEN,

⇒ x = 2y

⇒ x = 2 ×⅓ ------( from equ. 3 )

⇒ .°. x = 2/3