ALGEBRA AND TRIGONOMETRY-WEBASSIGN
4th Edition
ISBN: 2818000007824
Author: Stewart
Publisher: CENGAGE L
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Chapter 10.1, Problem 55E
SKILLS Plus
55-58 ■ Solving a General System of Equations Find
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Chapter 10 Solutions
ALGEBRA AND TRIGONOMETRY-WEBASSIGN
Ch. 10.1 - CONCEPTS The system of equations {2x+3y=75xy=9 is...Ch. 10.1 - CONCEPTS A system of equations in two variables...Ch. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - SKILLS 58 Substitution Method Use the...Ch. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
Ch. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - SKILLS 1314 Graphical MethodTwo equations and...Ch. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - SKILLS 1520 Number of Solutions Determined...Ch. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - 2150 Solving a System of Equations Solve the...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - 2150 Solving a System of Equations Solve the...Ch. 10.1 - 2150 Solving a System of Equations Solve the...Ch. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - 21-50Solving a system of linear equationsSolve the...Ch. 10.1 - 21-50Solving a system of linear equationsSolve the...Ch. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - 21-50Solving a system of linear equationsSolve the...Ch. 10.1 - Prob. 44ECh. 10.1 - Prob. 45ECh. 10.1 - Prob. 46ECh. 10.1 - Prob. 47ECh. 10.1 - Prob. 48ECh. 10.1 - 2150 Solving a System of Equations Solve the...Ch. 10.1 - Prob. 50ECh. 10.1 - Prob. 51ECh. 10.1 - Prob. 52ECh. 10.1 - Prob. 53ECh. 10.1 - Prob. 54ECh. 10.1 - SKILLS Plus 55-58 Solving a General System of...Ch. 10.1 - Prob. 56ECh. 10.1 - Prob. 57ECh. 10.1 - Prob. 58ECh. 10.1 - Prob. 59ECh. 10.1 - Prob. 60ECh. 10.1 - APPLICATIONS Value of Coins A man has 14 coins in...Ch. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Prob. 64ECh. 10.1 - Prob. 65ECh. 10.1 - Prob. 66ECh. 10.1 - Nutrition A researcher performs an experiment to...Ch. 10.1 - Prob. 68ECh. 10.1 - Prob. 69ECh. 10.1 - Mixture problem A biologist has two brine...Ch. 10.1 - Prob. 71ECh. 10.1 - Prob. 72ECh. 10.1 - APPLICATIONS Distance, Speed, and Time John and...Ch. 10.1 - Prob. 74ECh. 10.1 - Prob. 75ECh. 10.1 - Prob. 76ECh. 10.1 - Prob. 77ECh. 10.2 - 1-2these exercises refer to the following system:...Ch. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - SKILLS 7-12Triangular SystemsUse back-substitution...Ch. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - SKILLS 13-16Eliminating a VariablePerform an...Ch. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - SKILLS 17-38Solving a System of Equations in Three...Ch. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - SKILLS 17-38Solving a System of Equations in Three...Ch. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - SKILLS 17-38Solving a System of Equations in Three...Ch. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - SKILLS 17-38Solving a System of Equations in Three...Ch. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - SKILLS 17-38Solving a System of Equations in Three...Ch. 10.2 - Prob. 38ECh. 10.2 - APPLICATIONS Financial PlanningMark has 100,000 to...Ch. 10.2 - Prob. 40ECh. 10.2 - APPLICATIONS AgricultureA farmer has 1200 acres of...Ch. 10.2 - Gas Station A gas station sells three types of...Ch. 10.2 - Nutrition A biologist is performing an experiment...Ch. 10.2 - Prob. 44ECh. 10.2 - APPLICATIONS Juice Blends The Juice Company offers...Ch. 10.2 - Prob. 46ECh. 10.2 - APPLICATIONS Stock Portfolio An investor owns...Ch. 10.2 - Electricity By using Kirchhoffs Laws, it can be...Ch. 10.2 - Prob. 49ECh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.3 - Prob. 48ECh. 10.4 - CONCEPTS 1-2The system of equations {2yx2=0yx=4 is...Ch. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - SKILLS 3-8Substitution MethodUse the substitution...Ch. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - SKILLS 9-14Elimination MethodUse the elimination...Ch. 10.4 - SKILLS 9-14Elimination MethodUse the elimination...Ch. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - SKILLS 15-18Finding Intersection Points...Ch. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - SKILLS 19-32Solving Nonlinear SystemsFind all...Ch. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - SKILLS 19-32Solving Nonlinear SystemsFind all...Ch. 10.4 - SKILLS 19-32Solving Nonlinear SystemsFind all...Ch. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - SKILLS 19-32Solving Nonlinear SystemsFind all...Ch. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - SKILLS 33-40Graphical MethodUse the graphical...Ch. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - SKILLS Plus 41-44Some Tricker SystemsFollow the...Ch. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - APPLICATIONS Flight of a RocketA hill is inclined...Ch. 10.4 - Prob. 50ECh. 10.4 - Global Positioning System GPS The Global...Ch. 10.4 - Prob. 52ECh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - Prob. 32ECh. 10.5 - Prob. 33ECh. 10.5 - Prob. 34ECh. 10.5 - Prob. 35ECh. 10.5 - Prob. 36ECh. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - Prob. 40ECh. 10.5 - Prob. 41ECh. 10.5 - Prob. 42ECh. 10.5 - Prob. 43ECh. 10.5 - Prob. 44ECh. 10.5 - Prob. 45ECh. 10.5 - Prob. 46ECh. 10.5 - Prob. 47ECh. 10.5 - Prob. 48ECh. 10.5 - Prob. 49ECh. 10.5 - Prob. 50ECh. 10.5 - Prob. 51ECh. 10.5 - Prob. 52ECh. 10.5 - Prob. 53ECh. 10.5 - Prob. 54ECh. 10.5 - Prob. 55ECh. 10.5 - Prob. 56ECh. 10.5 - Prob. 57ECh. 10.5 - Prob. 58ECh. 10.5 - Prob. 59ECh. 10.5 - Prob. 60ECh. 10.5 - Prob. 61ECh. 10.5 - Prob. 62ECh. 10.5 - Prob. 63ECh. 10.5 - Prob. 64ECh. 10.5 - Prob. 65ECh. 10.5 - Prob. 66ECh. 10.5 - Prob. 67ECh. 10.5 - Prob. 68ECh. 10.5 - Prob. 69ECh. 10.5 - Prob. 70ECh. 10.5 - Prob. 71ECh. 10.5 - Prob. 72ECh. 10.5 - APPLICATIONS Coffee BlendsA coffee merchant sells...Ch. 10.5 - Prob. 74ECh. 10.5 - Prob. 75ECh. 10.CR - Prob. 1CCCh. 10.CR - Prob. 2CCCh. 10.CR - What is a system of linear equations in the...Ch. 10.CR - For a system of two linear equations in two...Ch. 10.CR - What operations can be performed on a linear...Ch. 10.CR - aExplain how Gaussian elimination works. bUse...Ch. 10.CR - Prob. 7CCCh. 10.CR - Prob. 8CCCh. 10.CR - Prob. 9CCCh. 10.CR - Prob. 1ECh. 10.CR - Prob. 2ECh. 10.CR - Prob. 3ECh. 10.CR - Prob. 4ECh. 10.CR - Prob. 5ECh. 10.CR - Prob. 6ECh. 10.CR - Prob. 7ECh. 10.CR - Prob. 8ECh. 10.CR - Prob. 9ECh. 10.CR - Prob. 10ECh. 10.CR - Prob. 11ECh. 10.CR - Prob. 12ECh. 10.CR - Prob. 13ECh. 10.CR - Prob. 14ECh. 10.CR - Prob. 15ECh. 10.CR - Prob. 16ECh. 10.CR - Prob. 17ECh. 10.CR - Prob. 18ECh. 10.CR - Prob. 19ECh. 10.CR - Prob. 20ECh. 10.CR - Prob. 21ECh. 10.CR - Prob. 22ECh. 10.CR - Prob. 23ECh. 10.CR - Prob. 24ECh. 10.CR - Prob. 25ECh. 10.CR - Prob. 26ECh. 10.CR - Prob. 27ECh. 10.CR - Prob. 28ECh. 10.CR - Prob. 29ECh. 10.CR - Prob. 30ECh. 10.CR - Prob. 31ECh. 10.CR - Prob. 32ECh. 10.CR - Prob. 33ECh. 10.CR - Prob. 34ECh. 10.CR - Prob. 35ECh. 10.CR - Prob. 36ECh. 10.CR - Prob. 37ECh. 10.CR - Prob. 38ECh. 10.CR - Prob. 39ECh. 10.CR - Prob. 40ECh. 10.CR - Prob. 41ECh. 10.CR - Prob. 42ECh. 10.CR - Prob. 43ECh. 10.CR - Prob. 44ECh. 10.CR - Prob. 45ECh. 10.CR - Prob. 46ECh. 10.CR - Prob. 47ECh. 10.CR - Prob. 48ECh. 10.CR - Prob. 49ECh. 10.CR - Prob. 50ECh. 10.CR - Prob. 51ECh. 10.CR - Prob. 52ECh. 10.CR - Prob. 53ECh. 10.CR - Prob. 54ECh. 10.CR - Prob. 55ECh. 10.CR - Prob. 56ECh. 10.CR - Prob. 57ECh. 10.CR - Prob. 58ECh. 10.CT - Prob. 1CTCh. 10.CT - Prob. 2CTCh. 10.CT - Prob. 3CTCh. 10.CT - Prob. 4CTCh. 10.CT - Prob. 5CTCh. 10.CT - Prob. 6CTCh. 10.CT - Prob. 7CTCh. 10.CT - Prob. 8CTCh. 10.CT - In 212h an airplane travels 600km against the...Ch. 10.CT - Prob. 10CTCh. 10.CT - Prob. 11CTCh. 10.CT - Prob. 12CTCh. 10.CT - Prob. 13CTCh. 10.CT - Prob. 14CTCh. 10.CT - Prob. 15CTCh. 10.CT - Prob. 16CTCh. 10.FOM - PROBLEMS 1-4Find the maximum and minimum values of...Ch. 10.FOM - 1-4 Find the maximum and the minimum values of the...Ch. 10.FOM - 1-4 Find the maximum and minimum values of the...Ch. 10.FOM - Prob. 4PCh. 10.FOM - Making FurnitureA furniture manufacturer makes...Ch. 10.FOM - A Housing DevelopmentA housing contractor has...Ch. 10.FOM - Prob. 7PCh. 10.FOM - Manufacturing Calculators A manufacturer of...Ch. 10.FOM - Shipping TelevisionsAn electronics discount chain...Ch. 10.FOM - Prob. 10PCh. 10.FOM - Prob. 11PCh. 10.FOM - Prob. 12PCh. 10.FOM - Investing in BondsA woman wishes to invest 12,000...Ch. 10.FOM - Prob. 14PCh. 10.FOM - Business StrategyA small software company...Ch. 10.FOM - Feasible RegionAll parts of this problem refer to...
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- CONCEPTS A system of equations in two variables can be solved by the _______________________ method, the ___________________________method, or the ______________________method.arrow_forwardMeasurement Use the fact that 14 gallons is approximately the same amount as 53 liters to find a mathematical model that relates liters y to gallons x. Then use the model to find the numbers of liters in 5 gallons and 25 gallons.arrow_forwardSubstitution Method Use the substitution method to find all solutions of the system of equations. {x2+y=9xy+3=0}arrow_forward
- Measurement Use the fact that 13 inches is approximately the same length as 33 centimeters to find a mathematical model that relates centimeters y to inches x. Then use the model to find the numbers of centimeters in 10 inches and 20 inches.arrow_forwardSubstitutions method Use the substitution method to find all solutions of the system of equations. {y=x2y=x+12}arrow_forwardInvesting You have 30, 000 to invest. You will invest M dollars in municipal bonds and T dollars in Treasury notes. For security, your financial advisor recommends that you invest twice as much Treasury notes as you invest in municipal bonds. a. Write a system of equations that will determine how much to invest in each category. Suggestion: One equation should show the total amount invested. The second equation should show that twice as much is invested in Treasury note as in municipal bonds. b. Solve the system of equation in part a to determine how much is invested in each category.arrow_forward
- Applications 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?arrow_forwardTwo angles are complementary. One angle is 12 larger than the other. Using two variable x and y, find the size of each angle by solving a system of equations.arrow_forwardGraphical Method Two equations and their graphs are given. Find the intersection point(s) of the graphs by solving the system. {x+y=22x+y=5}arrow_forward
- Mixing solutions A chemist has two solutions; one has a 20 concentration and the other a 45 concentration. How many liters of each must she mix to obtain 10 liters of 30 concentration?arrow_forwardNavigation See the illustration. An ocean liner is located 23 miles east and 72 miles north of Pigeon Cove Lighthouse, and its home port is 47 miles west and 84 miles south of the lighthouse. How far is the ship from port?arrow_forward
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