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Simultaneous Linear Equations

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Solution — 2022 Question 1 Simultaneous Linear Equations

Let P,Q and R represent the cost of one Type P,Q and R radio respectively

12P+16Q+9R=1290.60(1)
3P=4Q3P−4Q=0(2)
15R=10P+10Q+46.50−10P−10Q+15R=46.5(3)

Solving equations (1), (2) and (3) with a GC,

P=36.60,Q=27.45,R=45.80

Cost of one Type R radio=$45.80∎

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