Please help by solving using the Gauss-Jordan Method- Which uses matrix notation

Example Shown Below:

lath 229 Lab 24: Section 2.2 Use good notation and show all of your work. 1. Margie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and mediation for each dog costs twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medication? Gauss-Jordan Method : AKA Matrix Notationth 229 Lab 24: Section 2.2 2. The Hiker and Biker Outfitting Shop makes packages of snacks to order. One customer likes peanuts, raisins, and chocolate chips, but wants only 2 ingredients per snack. In peanut-raisin mixes she likes twice as many peanuts as raisins; in peanut-chocolate chip mixes, she likes twice as many chocolate chips as peanuts; and in the raisin-chocolate chip mixes she likes equal amounts of the two foods. Her total purchase contains 4 ounces of peanuts, 6 ounces of raisins, and 12 ounces of chocolate chops. How many ounces of each mix did she buy?ath 229 Lab 24: Section 2.2 Name: 3. A convenience store sells 23 sodas one summer afternoon in 12-, 16-, and 20-ounce cups (small, medium, and large). The total volume of soda sold was 376 ounces. Suppose that the prices for a small, medium, and large soda are $1, $1.25, and $1.40, respectively, and that the total sales were $28.45. How many of each size did the store sell?Math 229 Lab 24: Section 2.2 Name: 4. This 2022 Major League Baseball season, Freddie Freeman of the LA Dodgers had the most hits in the league. He had a total of 199 hits, consisting of singles, doubles, triples, and home runs. The number of doubles is five more than twice the number of home runs. The number of singles is one less than 65 times the number of triples. The number of tingles is the same as 6 times the number of home runs plus 1.5 times the number of triples. How many of each did Freddie Freeman hit?Example 5. A dietitian must make a meal consisting of 700 calories, 450 milligrams of sodium, and 220 milligrams of vitamin A from three types of food: ground beef, bakes potatoes, and mixed vegetables. One serving of ground beef contains 200 calories, 150 milligrams of sodium, and 10 milligrams of vitamin A. One serving of baked potato contains 150 calories, 100 milligrams of sodium, and 30 milligrams of vitamin A. One serving of mixed vegetables contains 100 calories, 50 milligrams of sodium, and 75 milligrams of vitamin A. How many servings of each type of should the meal contain? x= servings of ground beck Y=servings of backed potatoes 2= servings of Vesgles the meal should Contain I serving of ground total Beet , 2 11 of Baked Y 121 Potatoes + mixed 150 100 700 150 100 700 veggies 200 calories 260 150 100 150 450 150 50 100 456 10 220 Sodium 30 75 vitamin/ 10/ 30 75 220 A - ISOR + R2 -7 RX 2 200 - 25 100 so 4:50 -10R, +R3-7 R3 70 185 10 30 7s 220 N/ V 2 R2 + R3 - 7 R3 2 25 2 R2- 7R2 1 NNI- 01 2 45 70 185 0 0 25 150 7 / 2 - 2 R3 +R2 -7 RX 5/2 GRZ TRI - 7 R R3 -7R3 1 2 6 ERS TR , - 7 RI 0 O 2 100 O 1 001