Question

solve for U and V .... 2(3u-v)=5uv ; 2(u+3v) = 5uv ​

Answer 1

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2(3u - v) =5uv

6u - 2v =5uv ……(1)

2(u+3v)=5uv

2u + 6 v =5uv …[2]

(2) ✖ 3 = 6 u + 18 v =15 uv …(3)

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(3)-(1)

6 u + 18 v =15 uv

6u - 2v =5uv

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20 v = 10 uv

20=10u

u =2

substitute 2(u+3v)=5uv

2( 2+3v) =5(2) v

4+6v =10v

4=4v

v = 1

Therefore, ( u, v) =(2,1)

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Answer 2

Step-by-step explanation:

6u-2v=5uv;2u+6v=5uv

by elimination,

4u-8v=0

4(u-2v)=0

u-2v=0

u=2v