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Solve the matrix equation AX : B for X l -1 0 T ' 3 l 14 Solve the following system of equations using an inverse matrix. Write your answer as an ordered pair. {31+y=8 53+2y=11 Inverse matrix: Solution: You have 510.000 to split into two investments: a highyield account that earns 5% annual interest, and a low-risk account that earns 1% annual interest. You would like to earn a total of 5400 interest in a year. How much money should you invest in each account? Answer this question by setting up a system of equations, representing it as a matrix equation and solving that matrix equation using an inverse matrix. Investment in hi3hyield_account_-= I dollars Investment in low-risk account = ' . dollars Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal containing rice, tofu, and peanuts that will provide 380 grains of carbohydrates, 298 grams of fat. and 171 grams of protein. He knows that each cup of rice provides 46 grams oi carbohydrates, 0 grams of fat, and 3 grams of protein. Each cup of tofu provides T grams of carbohydrates, 15 grams of fat, and 20 grams of protein. Finally, each cup of peanuts provides 34 grams of carodiydrates. 67 grams of fat, and 29 grams of protein. How many cups of rice, tofu, and peanuts should he eat? cups of rice: [ 1 cups of tofu: cups of peanuts: '___i Bill is trying to plan a meal to meet specic nutritional goals. He wants to prepare a meal containing rice, tofu. and peanuts that will provide 366 grams of carbohydrates. 312 grams of fat. and 209 grams of protein. He knows that each cm of rice provides 50 grams of carbohydrates. 0 grams of fat. and 1 grams of protein. Each cup of tofu provides 4 grams of carbohydrates, 13 grams of fat. and 17 grams of protein. Finally. each cup of peanuts provides 25 grams of carbohydrates. 55 grams of fat. and 34 grams of protein. How many cups of rice. tofu, and peanuts should he eat? cups of rice: I i '1 cups of tofu: l cups oi peanuts: J