Solve the system with the addition method: 6x - 2y = 32 -9x + 2y = 73 Answer: (x, y) = Preview I Preview y Enter your answers as integers or as reduced fraction(s) in the form A/B.Solve the system with the addition method: (6 + 7y = -1 x - 9y = 71 Answer: (x, y) = Preview I Preview y Enter your answers as integers or as reduced fraction(s) in the form A/B. 52: = 17 Solve the system of equations by graphing: y Enter the solution set in the boxes 33; = 151:: + 51 below. If the lines are parallel, enter DNE {for "does not exist") into each box. If the lines are coincident [infinite number of solutions], enter no into each box. (Note: Use double letter o's, not zeros, for infinity.) Solve the system with the addition method: 4x + 6y = 5x + 5y = -4 Answer: (x, y) = Preview I Preview y Enter your answers as integers or as reduced fraction(s) in the form A/B.Solve the system of equations by graphing: ym 2!; Enter your answer as 3 numbers. If the system is inconsistent [has no solutions}, enter DNE [for "does not exist"]: into each box. If the system is dependent {infinite number of solutions], enter DO into each box {for infinity. These are double letter o's, no zero's.} 17 12:13 34 Answer: (1!, y} = (i I: i} The sum of two numbers is 55. The difference of the two numbers is 23. What are the two numbers. Let + be the larger number and y be the smaller number. Write an equation that expresses the information in the sentence "The sum of two numbers is 55." Write an equation that expresses the information in the sentence "The difference of the two numbers is 23." Solve the system you have written above. The larger number, C is The smaller number, y isA man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing? Your answer is his speed equals the wind speed equalsThe admission fee at an amusement park is 51.50 for children and $4 for adults. On a certain day, 316 people entered the park, and the admission fees collected totaled 824.00 dollars. How many children and how man'yr adults were admitted? Your answer is number of children equals I i number of adults equals I I A man has 32 coins in his pocket, all of which are dimes and quarters. If the total vaLue of his change is 530 cents, how many.r dimes and how many quarters does he have? Your answer is number of dimes equals I I number of quarters equals I I Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 12 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 9180 dollars. How much did she invest at each rate? Amount invested at 4 percent interest is $ Amount invested at 12 percent interest is S Find the solution to the system of equations: x - 2y + z =5 y + 2z =4 cty + 3z =5 = U =Maricopa's Success scholarship fund receives a gift of $ 150000. The money is invested in stocks, bonds, and CDs. CDs pay 5.5 % interest, bonds pay 4.3 % interest, and stocks pay 11.9 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is 5 10090 , how much was invested in each account? Maricopa Success invested $ in stocks. Maricopa Success invested $ in bonds. Maricopa Success invested $ in CDS.A chemist has three different acid solutions. The first acid solution contains 20% acid, the second contains 35% and the third contains 55%.The1yr want to use all three solutions to obtain a mixture of 48 liters containing 45% acid, using 3 times as much of the 55% solution as the 35% solution. How many liters of each solution should be used? The chemist should use I I liters of 20% solution, I liters of 35% solution, and I I liters of 55% solution. A collection of nickels, dimes, and quarters consist of 12 coins with a total of $1.25. If the number of dimes is equal to the number of nickels, find the number of each type of coins. There are I nickels, I dimes, and quarters. :1. movie theater has a seating capacity of 129. The theater charges $5.00 for children, $100 for students, and $12.00 fer adults. There are half as many adults as there are children. If the total ticket sales 1was S 918, How many children, students, and adults attended? || children attended. I I stud en ts attended. || adults attended . 105 0 0 1 50 -2 Let A = 0 0 1 1 0 0 0 0 0 Is the matrix in echelon form? (input Yes or No) Is the matrix in reduced echelon form? (input Yes or No) If this matrix were the augmented matrix for a system of linear equations, would the system be inconsistent, dependent, or independent? Given the system of equations m+y+z=3 y332T 2m+y+53=14 {a} determine whether the system is inconsistent or dependent; Your answer is [in put inconsistent or dependent] I [b] if your answer is dependent, find the complete solution. 1|Write I and "y as functions of z. m=| | y=| i Given the system of equations 2x - 3y - 92 = 17 c + 3z =-11 3x +y -42 = 20 (a) determine whether the system is inconsistent or dependent; Your answer is (input inconsistent or dependent) (b) if your answer is dependent in (a), find the complete solution. Write @ and y as functions of z. T