solve for u and v 2(3u - v) = 5uv 2(u + 3v) = 5uv
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Answered by
274
2(3u-v) = 5uv
dividing by uv
⇒(6/v)-(2/u) = 5
Let 1/v = x and 1/u =y
⇒6x -2y =5
⇒18x -6y =15____(1)
similarly, (2/v)+(6/v)=5
⇒2x +6y =5____(2)
adding (1) and (2), we get
20x =20
⇒x=1
so, y =(5-2)/6 = 1/2
x=1 so 1/v =1
⇒v =1
and y=1/2 = 1/u
⇒u=2
dividing by uv
⇒(6/v)-(2/u) = 5
Let 1/v = x and 1/u =y
⇒6x -2y =5
⇒18x -6y =15____(1)
similarly, (2/v)+(6/v)=5
⇒2x +6y =5____(2)
adding (1) and (2), we get
20x =20
⇒x=1
so, y =(5-2)/6 = 1/2
x=1 so 1/v =1
⇒v =1
and y=1/2 = 1/u
⇒u=2
Answered by
15
Answer:
v=1,u=2
Step-by-step explanation:
2(3u-v) = 5uv
dividing by uv
⇒(6/v)-(2/u) = 5
Let 1/v = x and 1/u =y
⇒6x -2y =5
⇒18x -6y =15____(1)
similarly, (2/v)+(6/v)=5
⇒2x +6y =5____(2)
adding (1) and (2), we get
20x =20
⇒x=1
so, y =(5-2)/6 = 1/2
x=1 so 1/v =1
⇒v =1
and y=1/2 = 1/u
⇒u=2
here u go mate hope it helps!!!
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