Simultaneous Equations: Number Problem

Simultaneous Equations: Number Problem

Secondary 2

There are two numbers. When the second number is subtracted from twice the first number, the result is \(18\). When \(9\) is added to the first number, the result is equal to twice the second number.

  1. Using \(x\) as the first number and \(y\) as the second number, write down a pair of simultaneous equations.
  2. Hence find the numbers \(x\) and \(y\).

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Answer:(a) \(2x-y=18\), \(x+9=2y\) (b) \(x=15,\ y=12\)

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