solve the following system of equations 3(2u+v) =7uv, 3(u+3v)=11uv
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Step-by-step explanation:
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Answer:
u = 1, v = 1.5
Step-by-step explanation:
3(2u + v) = 7uv
=> 6u + 3v = 7uv ---- Eq 1
3(u + 3v) = 11uv
=> 3u + 9v = 11uv ---- Eq 2
Multiplying Eq 1 by 3,
18u + 9v = 21uv ----- Eq 3
Eq 3 - Eq 2,
18u + 9v = 21uv
3u + 9v = 11uv
15u = 10uv
=> v = 15u / 10u = 1.5
Substituting v=1.5 in Eq 1
6u + (3*1.5) = 7u(1.5)
=> 6u + 4.5 = 10.5u
=> 4.5u = 4.5
=> u = 1
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