Use the Gauss-Jordan method to solve the following system of equations. Question list K 2x - 5y + 5z = 9 2x + 3y - 2z = 14 4x - 2y + 3z = 23 O Question 1 O Question 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution is ( ), in the order x, y, Z. O Question 3 (Simplify your answers.) O B. There is an infinite number of solutions. The solution is ( , ,z) , where z is any real number. (Simplify your answers. Use integers or fractions for any numbers in the expressions.) O Question 4 O C. There is no solution. O Question 5 O Question 6 O Question 7 O Question 8 Question 9 O Question 10 Time Remaining: 03:59:54 NextSolve the system of equations by using the inverse of the coefficient matrix. 2x - 2y = 4 10y + 20z = 73 x + 2z = 8 OD Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution of the system is x = , y= , z=]. (Type an exact answer in simplified form.) O B. There are infinitely many solutions. The solutions are x = and y= , where z is any real number. (Type an exact answer in simplified form.) O C. There is no solution. Question Viewer Time Remaining: 03:59:31 NextGiven that 2 sheep, 2 dogs, 7 hens, and 5 rabbits cost 879 coins, 5 sheep, 5 dogs, 3 hens, and 4 rabbits cost 1665 coins, 4 sheep, 1 dog, 5 hens, and 2 rabbits cost 1007 coins, 3 sheep, 4 dogs, 4 hens, and 1 rabbit cost 1148 coins, how much does each animal cost? Complete parts (a) and (b) below. (a) Write a system of linear equations that describes this problem using s for the cost of a sheep, d for the cost of a dog, h for the cost of a hen, and r for the cost of a rabbit. = 879 1665 1007 1148 (b) Find the solution to this problem. A sheep costs coins, a dog costs (Type whole numbers.) coins, a hen costs coins, and a rabbit costs coins. (@ Time Remaining: 03:59:15 m An electronics company produces three models of stereo speaker, models A, B, and C, and can deliver them by truck, van, or SUV. A truck holds 2 boxes of model A, 2 boxes of model B, and 3 boxes of model C. A van holds 3 boxes of model A, 4 boxes of model B, and 2 boxes of model C. An SUV holds 5 boxes of model A, 7 boxes of model B, and 1 box of model C. (a) If 29 boxes of model A, 37 boxes of model B, and 19 boxes of model C are to be delivered, how many vehicles of each type should be used so that all operate at full capacity? (b) Model C has been discontinued. If 29 boxes of model A and 37 boxes of model B are to be delivered, how many vehicles of each type should be used so that all operate at full capacity? (a) Write a linear system of equations. Let x represent the number of trucks, y represent the number of vans, and z represent the number of SUVs. Choose the correct answer below. O A. 3x+2y+5z=29 2x+4y-7z=37 2x+3y+z=19 (O C. 2x+3y-5z=29 2x-y+7z=37 3x+2y+z=19 (O B. 2x+3y+5z=37 2x+4y+z=29 3x+2y+7z=19 (O D. 2x+3y+5z=29 2x+4y+7z=37 3x+2y+z=19 The electronics company should use truck(s), van(s), and SUV(s). (b) Select the correct choice below and fill in the answer boxes to complete your choice. O A. There is one solution. The company should use truck(s), van(s), and SUV(s). O B. There are two solutions. If the company wants to use the most amount of trucks possible, they should use truck(s), van(s), and van(s), and SUV(s). SUV(s). Otherwise, they should use truck(s), @ Time Remaining: 03:59:00 m If 20 lb of rice and 30 lb of potatoes cost $21.80, and 30 lb of rice and 12 lb of potatoes cost $17.52, answer parts a through c. Question list K O Question 1 a. Set up two linear equations from the given information using x and y as the variables. Let x be the cost of 1 lb of rice and y be the cost of 1 lb of potatoes. = 21.80 O Question 2 = 17.52 (Do not factor. Use integers or decimals for any numbers in the equations.) b. Solve your equations for x and y. O Question 3 X= y = O Question 4 (Simplify your answer. Type an integer or a decimal.) c. Find the cost of 10 lb of rice and 50 lb of potatoes. O Question 5 The cost of 10 lb of rice and 50 lb of potatoes is $ (Simplify your answer.) O Question 6 O Question 7 O Question 8 O Question 9 O Question 10 Time Remaining: 03:58:30 Next