Question

$\frac{1}{2x} \: - \: \frac{1}{y} = \: - 1 \\ \\ \frac{1}{x} \: + \: \frac{1}{2y} = \: 8$
Solve for X and Y

This is a special case

After u get the equation

2u - v = - 1

U + 2v = 8

Do by any method and give answer

Answer 1

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=> 2u - v = - 1 ------( i )

=> u + 2v = 8 -------( ii )

Multiply ( ii ) by 2, we get

=> 2u + 4v = 16 ------- ( iii )

Now,

Subtract ( i ) from ( ii ), we get

=> 2u + 4v - 2u + v = 16 + 1

=> 5v = 17

=> v = 17 / 5

=> v = 3.4

Now put this value of v in ( i ) eqn.

=> 2u - 17 / 5 = - 1

=> 10u - 17 = -5

=> 10u = 12

=> u = 12 / 10

=> u = 1.2

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❤️ Jai bajarang bali ❤️

@Dr. S.M.

Answer 2

Hi,

Here is your Answer,

2u - v → -1 { Considering as equation (1)

→ u + 2v → 8 { Considering as equation (2)

Multiplying equation 2 with (2)

→ 2u + 4v → 16 Forming Equation (3)

→ 2u + 4v - 2u + v = 16 + 1 {Subtract 1 from 2 }

→ 5v → 17

→ v → 17/5

→ v → 3.4 Therefore the value of v is 3.4

Putting the v value in Equation (1)

→ 2 u - 17/5 → -1

→ 10 u - 17 → -5

→ 10 u → 12

→ u → 12/10

→ u = 1.2 ( Final Answer )