Question 1
Solve the following pair of simultaneous linear equations using the substitution method. $$3x + y = 11$$ $$x - 2y = -7$$ Give your answers as coordinates $(x, y)$.
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General Mathematics · Unit 2 · Applications of linear equations and their graphs · Simultaneous linear equations and their applications
Solve a pair of simultaneous linear equations, algebraically using substitution and elimination, and graphically.
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Question 2
A catering company charges a fixed booking fee plus a per-person rate. The table below shows the total cost for two different party sizes. (a) Let \(f\) represent the fixed booking fee (in dollars) and \(p\) represent the per-person rate (in dollars). Write a pair of simultaneous linear equations that models the information in the table. (1 mark) (b) Solve the simultaneous equations using the elimination method to find the fixed booking fee and the per-person rate. Show all working. (3 marks)
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