Keywords: linear systems, system of equations, matrix, matrix multiplication, linear systems, augmented matrix 1. (a) A movie made $15 million online from a mix of sales and rentals. A sale costs $15, and a rental costs $6. Given that there were a total of 2 million transactions, how many were rentals and how many were sales? " (b) You are trying to mix up 2 cups of a cinnamon-sugar topping consisting of 4/5 sugar and 1/5 cinnamon. You already have a large bag that is half sugar and half cinnamon, and a large bag full of pure sugar. How much should you take from each bag to get the correct mix?3. The system of equations m+21=6 233+4y=13 has no solutions. 'Whet happens when you try to solve the system using: (a) Algebraic manipulations? (b) A graph of the lines? 4. (a) For what values of a does the system of equations 23: y = o, 43: 2? = 3 have a solution. How do the graphs of the lines change when you change the value of o? (b) For what values of a does the system of equations 23: y = a, as; + y = 1 have a solution? How do the graphs of the lines change when you change the value of a