Short mixed review of parameter problems

Short mixed review of parameter problems

Secondary 2
TGM Original Questions
  1. If \((2,3)\) satisfies \(mx+ny=13\) and \(nx-my=0\), find \(m\) and \(n\).
  2. The line \(y=ax+b\) passes through \((1,5)\) and \((4,14)\). Find \(a\) and \(b\).
  3. A rectangle has perimeter \(54\) cm. Its length is \(3\) cm more than twice its width. Find its dimensions.

Solution:

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Answer:(a) \(m=2,n=3\); (b) \(a=3,b=2\); (c) length 19 cm, width 8 cm.

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