1. A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? A. 0 B. 2 C. 1 D. infinite number Hint 2. Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5. A. infinite solutions B. no solution C. (-3, 1, 7) D. Hint 3. At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 is supposed to work 5 hours more than worker 2, and worker 2 is supposed to work 15 hours more than worker 3. How long should each one work? A. worker 1: 40worker 2: 45worker 3: 25 B. worker 1: 42.5worker 2: 37.5worker 3: 30 C. worker 1: 45worker 2: 35worker 3: 30 D. worker 1: 45worker 2: 40worker 3: 25 Hint 4. At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 gets paid \$10 per hour, worker 2 gets paid \$12 per hour, and worker 3 gets paid \$14 per hour. If the company wants their total income to be \$1268, how many hours should each one work if worker 3 and worker 2 work for the same amount of hours? A. worker 1: 44worker 2: 33worker 3: 33 B. worker 1: 54worker 2: 28worker 3: 28 C. worker 1: 40worker 2: 35worker 3: 35 D. worker 1: 14worker 2: 48worker 3: 48 Hint 5. What is true about a system of equations in three variables that has 1 solution? A. planes intersect in one line B. planes have no points in common C. planes intersect in the same plane D. planes intersect in one point Hint