Question 1 (10 points) Linear equations Solve the linear equation x + 5 y =16 under each of the following constraints: a) x and y are real numbers (4 points) b) x and y are positive integers (3 points) c) x and y are prime numbers (3 points) A prime number is a positive integer which is solely divisible by l and itself. Write conveniently the set of solution(s) in each case. Hint: Write the augmented matrix under REF form and discuss the existence and the number of solutions Question 2 (10 points) Using Gauss-Jordan method, solve the following systems of linear equations Whose augmented matrices are given by: 0 l 0 0 1 0 0 0 l l l 0 l 2 l a) 0 0 0 0 l l b) 0 2 l 0 0 0 0 0 0 0 0 l 0 0 0 0 0 0 (6p0ints) (4 points)