Solve the following linear equations
a) 2r/7 = −4 b) 3x/4 = 15 c) x+3=5
d) 21= 3t e) t/12 − 1 = 1 f) 9 = 7 − 2 y
g) a/8 −3 = 7 h) 14 = 7k/5
i) 3w − 2 = 2w + 3
j) 6 − 5 k = 4 + 3 k k) 6t − 7 = 2 t + 5
l) 3 (x+6) = 2(x−1)

m) x −  2 / 2 +   x + 3 / 3 =10

1 1 4. Which one of the following must have infinitely many solutions? mark A: A system of linear equations with 7 equations in 11 unknowns. B: A system of linear equations with 11 equations in 7 unknowns. C: A homogeneous system of linear equations with 11 equations in 7 unknowns. D: A homogeneous system of linear equations with 7 equations in 11 unknowns. E: A homogeneous system of linear equations with 7 equations in 7 unknowns.

10. Consider the system of linear equations: E Which of the following is true? a) This system has a unique solution b) This system has exactly two solutions c) This system has infinitely many solutions d) This system has no solution e) This system has a unique solution and then also infinitely many solutions D none of the others Consider the system of linear equations: 3y + z = - 3 = 10 y - 22 - 16 3x -

2 38. Use Gauss-Jordan Elimination to solve the system of linear equations marks + y + 2x = 1 2.0 + 2y + 4z = 2 - - y - 22 = -1 Express your answer in vector form. Show your work.