1. The problem statement, all variables and given/known data "A company has a budget of $280,000 for computing equipment. Three types of equipment are available: microcomputers at $2000 a piece, terminals at $500 a piece, and word processors at $5000 a piece. There should be five times as many terminals as microcomputers and two times as many microcomputers as word processors. Set this problem up as a system of three linear equations. Determine approximately how many machines of each type there should be by solving by trial-and-error. Note: Check your answer by expressing the numbers of terminals and microcomputers in terms of the number of word processors and solving the remaining single equation in one unknown . " 2. Relevant equations How would I represent this problem as three linear equations 3. The attempt at a solution I believe that I was able to solve the problem algebraically : number of microcomputers 40, number of word processors is 20, and the number of terminals is 200 but I'm not sure about how to express it as a series of three linear equations. So far this is what I have : Let x be the number of microcomputers Let y be the number of terminals Let z be the number of word processors 2000x+500y+5000z = 280,000 y = 5x x = 2z Should the previous three lines suffice?