The point value of each problem is indicated by (#) 2x - 3y = 16 1. Given the system of equations to the right: a. Rewrite the system as an augmented matrix. (4) 3x + 4y = 7 b. Use algebraic steps (as taught in class) to simplify the augmented matrix to reduced row echelon form. (6) c. Determine the solution of the system. (4) As a fundraiser, a local club was selling tickets to a community fair. The group was hoping to attract both children and adults. Tickets were $7.50 for adults and $4.25 for children. Unfortunately, no one remembered to keep track of how many of each ticket were sold. They do know that a total of 121 tickets were sold and that $790.50 was raised. How many of each kind was sold? (8)