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a x + b y = c xy and p x + q y = r xy: divide by xy and solve

The same question, asked 2 times: CDS 2 2017*, CDS 1 2020. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2017

    28
    What is the value of uu in the system of equations 3(2u+v)=7uv3 (2u + v) = 7uv, 3(u+3v)=11uv3 (u + 3v) = 11uv ?

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  2. Question 2

    CDS 1 2020

    26
    What is the point on the xyxy-plane satisfying 5x+2y=7xy5x + 2y = 7xy and 10x+3y=8xy10x + 3y = 8xy ?

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