Mathematics 1229A/B Study Guide - Midterm Guide: Scantron Corporation, Pencil, Augmented Matrix

Graph the system of linear equations. Solve the system and interpret your answer. 2x + y = 4 x - y = 2 x + 3y = 2 -x + 2y = 3 x - y = 1 -2x + 2y = 5 1/2x - 1/3y = 1 -2x + 4/3y = -4 3x - 5y = 7 2x + y = 9 -x + 3y = 17 4x + 3y = 7 2x - y = 5 5x - y = 11 x - 5y = 21 6x + 5y = 21 x + 3/4 + y - 1/3 = 1 x - 1/2 + y + 2/3 = 4 2x - y = 12 x - 2y = 5 0.05x - 0.03y = 0.07 0.07x + 0.02 y = 0.16 0.2x - 0.5y = -27.8 0.3x + 0.4y = 68.7 x/4 + y/6 = 1 x - y = 3 2x/3 + y/6 = 2/3 4x + y = 4 Use back-institution to solve the system. x_1 - x_2 = 2 x_2 = 3 2x_1 - 4x_2 = 6 3x_2 = 9 -x + y - z = 0 2y + z = 3 1/2z = 0 x - y = 4 2y + z = 6 3z = 6

Consider the following system or linear equations: x - y - 3z = 9 5x + 2y + z = -30 -3x - y = 4 (i) Write the augmented matrix (Ax = b) for the system above. (ii) Find the inverse of the above system of linear equations. (iii) Solve the system using the inverse matrix found in part (ii).