Question: 3. A student was asked to solve the simultaneous equations xty= 9 x2 - 3xy + 232 =0 The student's solution is shown below: line

3. A student was asked to solve the simultaneous equations xty= 9 x2 - 3xy + 232 =0 The student's solution is shown below: line 1: x + y = 9 = y=9-x line 2: x2 - 3xy + 2y2 = 0 = x2 - 3x(9-x)+2(9-x)2=0 line 3: x2 - 27x - 3x2 + 162 - 36x + 2x2 = 0 line 4: 63x = 162 line 5: x = 162 -=y=9 162 45 63 63 (a) Identify the error in line 3 of the solution. (1) (b) Using algebra and showing all your working, solve the simultaneous equations. (4) (Total for Question 3 is 5 marks)

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