1. Given the following system of linear equations: x-3x=-2 -3x+y+6=3 2x-2y+(a-4)=b-3 (a) Determine the conditions on...

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1. Given the following system of linear equations: x-3x=-2 -3x+y+6=3 2x-2y+(a-4)=b-3 (a) Determine the conditions on a and b if (i) the system has no solutions (ii) the system has only one solution (iii) the system has infinitely many solutions (3 marks) (b) If the system has infinitely many solutions, determine the general solutions of the system above. 2. Let: (2 marks) 1. Given the following system of linear equations: x-3x=-2 -3x+y+6=3 2x-2y+(a-4)=b-3 (a) Determine the conditions on a and b if (i) the system has no solutions (ii) the system has only one solution (iii) the system has infinitely many solutions (3 marks) (b) If the system has infinitely many solutions, determine the general solutions of the system above. 2. Let: (2 marks)