How can identify the system of linear equtions

Math 1314 Lab Module 2 page 6 8. The ABC Ink Company is a small family owned company that sells packages of ink cartridge refills for smartpens. The Xavier set contains one blue ink refill and one black ink refill. The Yvonne set includes two blue ink refills, three black ink refills, and one red ink refill. The Zena set includes four blue ink refills, five black ink refills, and one red ink refill. The company has sold most of its stock and has found that it has only 11 blue ink cartridge refills, 14 black ink cartridge refills, and 3 red ink cartridge refills. How many of each set should the company package to sell in order to use all of the remaining ink cartridges so that there will be none left in inventory. X = a. Describe what the variables represent y = Z = b. Write the system of linear equations: c. Solve the system of equations using Gauss-Jordan Elimination. Show all proper row operations and the resulting matrices. Write the solution as an ordered triple, if appropriate. d. Fill out the table to show the possible combinations of sets the company can package: X Z e. In at least one complete sentence with proper grammar and correct spelling, write the solutions in terms of what the variables represent. 95+ 711