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Question

Solve:2(3uv)=5uv;2(u+3v)=5uv.

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Solution

2(3uv)=5uv ....(1)
2(u+3v)=5uv ....(2)

From (1) and (2) we get
2(3uv)=2(u+3v)
3uv=u+3v
3uu=3v+v
2u=4v
u=2v

Substitute u=2v in (1) we get
2(3×2vv)=5×2v×v
6vv=5×v2
5v=5×v2
v=v2
v2v=0
v(v1)=0
v=0,v=1

Put v=0 in u=2vu=0
u=0,v=0u=2,v=1

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