Question

If 2u+3v=uv; 3u-4v=2uv,then v=

Answer 1

Answer:

17/10

Step-by-step explanation:

Answer 2

Answer:

The value of 'v' is 17/10.

Step-by-step explanation:

Given that 2u + 3v =1uv and 3u -4v = 2uv

We have to find the value of 'v'

2u + 3v = 1uv --------(1)

3u - 4v = 2uv ----------(2)

Multiplying equation(1) by 3,

3(2u +3v) = 3uv

6u + 9v = 3uv --------------(3)

Multiplying equation(2) by 2

2(3u -4v) =2(2uv)

6u - 8v = 4uv --------------(4)

Then the coefficients of 'u' become same

Subtracting equation(4) from equation(3)

⇒6u + 9v - (6u - 8v) = 3uv - 4uv

⇒6u +9v - 6u + 8v = -1uv

⇒ 17v =-1uv

⇒u = -17

Put 'u' value in equation(1)

⇒2u +3v = 1uv

⇒2(-17) + 3v = (-17)v

⇒ -34 + 3v = -17v

⇒-34 = -17v - 3v

⇒ -34 = -20v

⇒ v =  34/20 = 17/10.

Therefore, the value of 'v' is 17/10.