Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for College Algebra (MindTap Course List)
12CM13CM14CM15CM16CM17CM18CM19CM20CM21CM22CM23CM24CM25CM26CM27CM28CM29CM30CM31CM32CM33CM34CM35CM36CM37CM38CM39CM40CMSelf Check Use the graphing method to solve {y=2xx+y=3.2SC3SC4SCSelf Check 5 Use the elimination method to solve 3x-y=26x-2y=46SC7SC8SCFill in the blanks. Any set of several equations with several variables is called a ________ of equations.2EFill in the blanks. If a system of equations has a solution, the system is ________.4E5E6E7E8E9E10EGetting Ready
You should be able to complete these vocabulary and concept statements before you proceed to the practice exercise.
Fill in the blanks.
The pair __________ ( is, is not ) a solution of the system
Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the practice exercise. Fill in the blanks. The pair 1,3 __________ is, is not a solution of the system 3x+y=6x-3y=-8Practice Solve each system of equations by graphing. {y=3x+5x2y=314E15E16E17EPractice Solve each system of equations by graphing. {x3y=32x6y=1219E20E21E22E23E24E25E26ESolve each system by substitution, if possible. 2x+3y=0y=3x-1128E29E30ESolve each system by substitution, if possible. x+3y=12x+6y=332E33E34E35E36E37E38E39E40E41E42ESolve each system by the elimination method, if possible.
Solve each system by the elimination method, if possible. -0.3x+0.1y=-0.16x-2y=2Solve each system by the elimination method, if possible.
46ESolve each system by the elimination method, if possible. x+y3=53x+y3=3-x48E49E50E51E52ESolve each system by any method.
54ESolve each system by any method. x-y+z=0x+y+2z=-1-x-y+z=056ESolve each system by any method. 2x+y=4x-z=2y+z=158E59E60E61E62E63E64E65E66E67E68E69E70EApplications Use system of equations to solve each problem. Price of food items If Jonathan purchases two hamburgers and four orders of French fires for 8 and Hannah purchases three burgers and two orders of fries for 8, what is the price of each item72E73E74EApplications Use system of equations to solve each problem. Boating A General Jackson riverboat can travel 30 kilometers downstream in 3 hours and can make the return trip in 5 hours. Find the speed of the boat in still water.76EApplications Use system of equations to solve each problem. Making an alloy A metallurgist wants to make 60 grams of an alloy that is to be 34 copper. She has samples that are 9 copper and 84 copper. How many grams of each must she use?78E79E80EApplications Use system of equations to solve each problem. Break-even point Roll wheel, Inc., can manufacture a pair of in-line skates for 43.53. Daily fixed costs of manufacturing in-line skates amount to 742.72. A pair of in-line skates can be sold for 89.95. Find equations expressing the expenses E and the revenue R as a functions of x, the numbers of pairs manufactured and sold. At what production level will expenses equal revenues?82EUse the system of three equations in three variables to solve each problem. Work schedules A college student earns 198.50 per week working three part-time jobs. Half of his 30-hour work week is spent cooking hamburgers at a fast-food chain, earning 5.70 per hour. In addition, the student earns 6.30 per hour doing janitorial work. How many hours per week does the student work at each jobUse the system of three equations in three variables to solve each problem. Investment income A women invested at 22,000 rollover IRA account in three banks paying 5, 6 and 7 annual interest. She invested 2000 more at 6 than at 5. The total annual interest she earned was 1370. How much did she invest at each rate?85EDesigning arches The engineer designing a parabolic arch knows that its equation has the form y=ax2+bx+c. Use this information in the illustration to find a,bandc. Assume that the distances are given in feet. Hint: The coordinates of points on the parabola satisfy its equation87E88E89E90E91E92EUse a graphing calculator to attempt to find the solution to the system {x8y=513x25y=16094E95E96E97E98E99EWrite a system of three equations in three variables with an infinite number of solutions.101E102E103E104E105E106E107E108E109E110ESelf Check Use Gaussian elimination to solve {x3y+z=22x+y+z=103xy2z=92SC3SC4SC5SC6SC1E2E3E4E5E6E7E8EFill in the blanks. In a type 1 row operation, two of a matrix can be ___________10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78EUse matrix methods to solve each problem Nutritional planning One ounce of each of three foods has the vitamin and mineral content shown in the table. How many ounces of each must be used to provide exactly 22 milligrams mg of niacin, 12 mg of zinc, and 20 mg of vitamin C? Food Niacin Zinc Vitamin C A 1 mg 1 mg 2 mg B 2 mg 1 mg 1 mg C 2 mg 1 mg 2 mgUse matrix methods to solve each problem. Chainsaw sculpting A wood sculptor carves three types of statues with a chainsaw. The number of hours required for carving, sanding, and painting a totem pole, a bear, and a deer are shown in the table. How many of each should be produced to use all available labor hours? Totem Pole Bear Deer Time Available Carving 2 hr 2 hr 1 hr 14 hr Sanding 1 hr 2 hr 2 hr 15 hr Painting 3 hr 2 hr 2 hr 21 hr81E82EExplain the difference between the row-echelon form and the reduced row-echelon form of a matrix.Explain the differences between Gaussian elimination and Gauss-Jordan elimination.85E86E87E88E89E90EDetermine if the statement is true or false. If the statement is false, then correct it and make it true. A 75 matrix has 5 rows.92E93E94EDetermine if the statement is true or false. If the statement is false, then correct it and make it true. Every matrix has a unique reduced row-echelon form.96E97E98E99E100E1SC2SC3SC4SC5SC6SC7SC8SC9SC1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E