Question

16 ( 2u + v) = 11 uv
5u + 3v = uv
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Answer 1

Answer:

6u + 3v = 7uv....(1)

3u + 9v = 11uv.....(2)

Multiplying equation (2) by 2

6u + 18v = 22uv...(3)

After solving equation (1) and (3)

15v = 15uv

u = 1

v = 3/2

Step-by-step explanation:

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Answer 2

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The equation 3(2u+v)=7uv can be rewritten as 6u+3v=7uv and the equation 3(u+3v)=11uv can be rewritten as 3u+9v=11uv. Then we get the equations:

6u+3v=7uv...(1)

3u+9v=11uv...(2)

Multiply equation 2 by 2:

6u+18v=22uv...(3)

Subtract Equation 1 from equation 3 to eliminate u, because the coefficients of u are the same. So, we get

(6u−6u)+(18v−3v)=22uv−7uv

i.e. −15v=−15uv

i.e. u=1

Substituting this value of u in equation 1, we get

6+3v=7v

i.e. 4v=6

 

i.e. v=23

Hence, the solution of the equations is u=1,v=23.