Simultaneous Equations - Solving Simultaneous Linear Equations using Elimination Method
Simultaneous Equations - Solving Simultaneous Linear Equations using Elimination Method
IP 2
5 marks
The diagram shows two congruent triangles \(PQR\) and \(XYR\). Triangle \(XYR\) is an isosceles triangle such that \(XR = YR\).
Write down two simultaneous equations, in the form \(ax + by = k\), where \(a\), \(b\) and \(k\) are constants, to represent this information.
[2]Solve the simultaneous equations to find the length of \(PQ\).
[3]
Solution:
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Answer:(a) \(-x+3y=5\), \(2x-2y=2\). (b) \(x=4\), \(y=3\), \(PQ=13\text{ cm}\).
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