Precalculus (6th Edition)
Precalculus (6th Edition)
6th Edition
ISBN: 9780134469140
Author: Robert F. Blitzer
Publisher: PEARSON
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Chapter 7, Problem 1RE

In Exercises 1 -5, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions. using set notation to express their solution sets.

{ y = 4 y + 1 3 x − 2 y = 13

Expert Solution & Answer
Check Mark
To determine

To calculate: The number of solutions of a system {y=4x+13x+2y=13

Answer to Problem 1RE

Solution:

The solution of the system of equation is unique with coordinates {(1,5)}.

Explanation of Solution

Given information:

The system of equations {y=4x+13x+2y=13

Calculation:

Let us consider the system of equations as given below:

y=4x+1 (I)

3x+2y=13 (II)

Put the value of y from equation (I) in to equation (II) and compute the value of x as given below:

3x+2(4x+1)=133x+8x+2=1311x=11x=1

Put the value of x in equation (I) and compute the value of y as given below:

y=5

And check the equation y=4x+1 for a test point x=−3,y=−11

−11=4(−3)+1−11=−11

Which is correct.

And check the equation 3x−2y=13 for a test point x=−3,y=−11

3(−3)−2(−11)=13−9+22=1313=13

Which is also correct.

Therefore, the solution of the equations is unique x=−3,y=−11

Thus, solution set of system of equation is {(1,5)} and the solution is unique.

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Chapter 7 Solutions

Precalculus (6th Edition)

Ch. 7.1 - Check Point 1 Consider the system: {2x3y=42x+y=4....Ch. 7.1 - Prob. 2CPCh. 7.1 - Check Point 3 Solve by the addition method: ...Ch. 7.1 - Prob. 4CPCh. 7.1 - Prob. 5CPCh. 7.1 - Check Point 6 Solve the system: ...Ch. 7.1 - Prob. 7CPCh. 7.1 - Check Point 8 With the current, a motorboat can...Ch. 7.1 - Prob. 9CPCh. 7.1 - Prob. 1CVC
Ch. 7.1 - Prob. 2CVCCh. 7.1 - Prob. 3CVCCh. 7.1 - Prob. 4CVCCh. 7.1 - Prob. 5CVCCh. 7.1 - Prob. 6CVCCh. 7.1 - Prob. 7CVCCh. 7.1 - Prob. 8CVCCh. 7.1 - Fill in each blank so that the resulting statement...Ch. 7.1 - Prob. 10CVCCh. 7.1 - Fill in each blank so that the resulting statement...Ch. 7.1 - Fill in each blank so that the resulting statement...Ch. 7.1 - In Exercises 1-4, determine whether the given...Ch. 7.1 - In Exercises 1-4, determine whether the given...Ch. 7.1 - Prob. 3PECh. 7.1 - In Exercises 1-4, determine whether the given...Ch. 7.1 - Prob. 5PECh. 7.1 - Prob. 6PECh. 7.1 - Prob. 7PECh. 7.1 - In Exercises 5-18, solve each system by the...Ch. 7.1 - Prob. 9PECh. 7.1 - In Exercises 5-18, solve each system by the...Ch. 7.1 - In Exercises 5-18, solve each system by the...Ch. 7.1 - In Exercises 5-18, solve each system by the...Ch. 7.1 - In Exercises 5-18, solve each system by the...Ch. 7.1 - In Exercises 5-18, solve each system by the...Ch. 7.1 - In Exercises 5-18, solve each system by the...Ch. 7.1 - In Exercises 5-18, salve each system by the...Ch. 7.1 - In Exercises 5-18, salve each system by the...Ch. 7.1 - In Exercises 5-18, salve each system by the...Ch. 7.1 - In Exercises 19-30, solve each system by the...Ch. 7.1 - In Exercises 19-30, solve each system by the...Ch. 7.1 - Prob. 21PECh. 7.1 - Prob. 22PECh. 7.1 - Prob. 23PECh. 7.1 - In Exercises 19-30, solve each system by the...Ch. 7.1 - Prob. 25PECh. 7.1 - Prob. 26PECh. 7.1 - Prob. 27PECh. 7.1 - In Exercises 19-30, solve each system by the...Ch. 7.1 - Prob. 29PECh. 7.1 - Prob. 30PECh. 7.1 - In Exercises 31-42, solve by the method of your...Ch. 7.1 - In Exercises 31-42, solve by the method of your...Ch. 7.1 - In Exercises 31-42, solve by the method of your...Ch. 7.1 - Prob. 34PECh. 7.1 - Prob. 35PECh. 7.1 - In Exercises 31-42, solve by the method of your...Ch. 7.1 - In Exercises 31-42, solve by the method of your...Ch. 7.1 - Prob. 38PECh. 7.1 - Prob. 39PECh. 7.1 - In Exercises 31-42, solve by the method of your...Ch. 7.1 - Prob. 41PECh. 7.1 - Prob. 42PECh. 7.1 - In Exercises 13-16. let x represent one number and...Ch. 7.1 - In Exercises 1316. let x represent one number and...Ch. 7.1 - Prob. 45PECh. 7.1 - Prob. 46PECh. 7.1 - Prob. 47PECh. 7.1 - In Exercises 47-48, solve each system by the...Ch. 7.1 - Prob. 49PECh. 7.1 - Prob. 50PECh. 7.1 - Prob. 51PECh. 7.1 - 52. For the linear function and , Find m and b. Ch. 7.1 - Use the graphs of the linear functions to solve...Ch. 7.1 - Use the graphs of the linear functions to solve...Ch. 7.1 - 55. A wine company needs to blend a California...Ch. 7.1 - A jeweler needs to mix an alloy with a 16% gold...Ch. 7.1 - 57. For thousands of years, gold has been...Ch. 7.1 - 58. In the “Peanuts” cartoon shown, solve the...Ch. 7.1 - 59. The manager of a candystand at a large...Ch. 7.1 - 60. A grocer needs to mix raisins at $2.00 per...Ch. 7.1 - Prob. 61PECh. 7.1 - When a plane flies with the wind, it can travel...Ch. 7.1 - 63. A boat’s crew rowed 16 kilometers downstream,...Ch. 7.1 - A motorboat traveled 36 miles downstream, with the...Ch. 7.1 - 65. With the current, you can canoe 24 miles in 4...Ch. 7.1 - Prob. 66PECh. 7.1 - Prob. 67PECh. 7.1 - Prob. 68PECh. 7.1 - Prob. 69PECh. 7.1 - The figure shows the graphs of the cost and...Ch. 7.1 - Prob. 71PECh. 7.1 - Prob. 72PECh. 7.1 - Prob. 73PECh. 7.1 - Prob. 74PECh. 7.1 - Prob. 75PECh. 7.1 - Prob. 76PECh. 7.1 - Prob. 77PECh. 7.1 - Prob. 78PECh. 7.1 - Prob. 79PECh. 7.1 - Prob. 80PECh. 7.1 - 69. We opened this section with a study showing...Ch. 7.1 - Prob. 82PECh. 7.1 - Prob. 83PECh. 7.1 - 72. The graphs show per capita consumption of soda...Ch. 7.1 - Prob. 85PECh. 7.1 - Prob. 86PECh. 7.1 - Prob. 87PECh. 7.1 - Prob. 88PECh. 7.1 - Prob. 89PECh. 7.1 - Prob. 90PECh. 7.1 - Prob. 91PECh. 7.1 - Prob. 92PECh. 7.1 - Prob. 93PECh. 7.1 - Prob. 94PECh. 7.1 - Prob. 95PECh. 7.1 - Prob. 96PECh. 7.1 - Prob. 97PECh. 7.1 - Prob. 98PECh. 7.1 - Prob. 99PECh. 7.1 - Prob. 100PECh. 7.1 - Prob. 101PECh. 7.1 - Prob. 102PECh. 7.1 - Prob. 103PECh. 7.1 - Prob. 104PECh. 7.1 - Prob. 105PECh. 7.1 - Prob. 106PECh. 7.1 - Prob. 107PECh. 7.1 - Prob. 108PECh. 7.1 - A marching band has 52 members, and there are 24...Ch. 7.1 - Prob. 110PECh. 7.1 - Prob. 111PECh. 7.1 - Prob. 112PECh. 7.1 - Prob. 113PECh. 7.1 - Prob. 114PECh. 7.1 - Prob. 115PECh. 7.1 - Prob. 116PECh. 7.1 - Prob. 117PECh. 7.2 - Check Point 1 Show that the ordered triple is a...Ch. 7.2 - Prob. 2CPCh. 7.2 - Prob. 3CPCh. 7.2 - Prob. 4CPCh. 7.2 - Prob. 1CVCCh. 7.2 - Prob. 2CVCCh. 7.2 - Prob. 3CVCCh. 7.2 - Prob. 1PECh. 7.2 - Prob. 2PECh. 7.2 - Prob. 3PECh. 7.2 - Prob. 4PECh. 7.2 - Solve each system in Exercises 5-18....Ch. 7.2 - Solve each system in Exercises 5-18. 6. 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Ch. 7.5 - Prob. 2PECh. 7.5 - Prob. 3PECh. 7.5 - Prob. 4PECh. 7.5 - In Exercises 1-26, graph each inequality. y13xCh. 7.5 - Prob. 6PECh. 7.5 - Prob. 7PECh. 7.5 - Prob. 8PECh. 7.5 - In Exercises 1-26, graph each inequality. x1Ch. 7.5 - Prob. 10PECh. 7.5 - Prob. 11PECh. 7.5 - Prob. 12PECh. 7.5 - In Exercises 1-26, graph each inequality. x2+y21Ch. 7.5 - Prob. 14PECh. 7.5 - Prob. 15PECh. 7.5 - Prob. 16PECh. 7.5 - In Exercises 1-26, graph each inequality....Ch. 7.5 - Prob. 18PECh. 7.5 - Prob. 19PECh. 7.5 - Prob. 20PECh. 7.5 - In Exercises 1-26, graph each inequality. yx29Ch. 7.5 - Prob. 22PECh. 7.5 - Prob. 23PECh. 7.5 - Prob. 24PECh. 7.5 - In Exercises 1-26, graph each inequality....Ch. 7.5 - Prob. 26PECh. 7.5 - In Exercises 27-62, graph the solution set of each...Ch. 7.5 - In Exercises 27-62, graph the solution set of each...Ch. 7.5 - Prob. 29PECh. 7.5 - Prob. 30PECh. 7.5 - Prob. 31PECh. 7.5 - Prob. 32PECh. 7.5 - In Exercises 27-62, graph the solution set of each...Ch. 7.5 - Prob. 34PECh. 7.5 - Prob. 35PECh. 7.5 - Prob. 36PECh. 7.5 - Prob. 37PECh. 7.5 - Prob. 38PECh. 7.5 - In Exercises 27-62, graph the solution set of each...Ch. 7.5 - Prob. 40PECh. 7.5 - Prob. 41PECh. 7.5 - Prob. 42PECh. 7.5 - Prob. 43PECh. 7.5 - Prob. 44PECh. 7.5 - In Exercises 27-62, graph the solution set of each...Ch. 7.5 - Prob. 46PECh. 7.5 - Prob. 47PECh. 7.5 - Prob. 48PECh. 7.5 - In Exercises 27-62, graph the solution set of each...Ch. 7.5 - Prob. 50PECh. 7.5 - In Exercises 27-62, graph the solution set of each...Ch. 7.5 - Prob. 52PECh. 7.5 - Prob. 53PECh. 7.5 - Prob. 54PECh. 7.5 - Prob. 55PECh. 7.5 - Prob. 56PECh. 7.5 - In Exercises 27-62, graph the solution set of each...Ch. 7.5 - Prob. 58PECh. 7.5 - Prob. 59PECh. 7.5 - Prob. 60PECh. 7.5 - Prob. 61PECh. 7.5 - Prob. 62PECh. 7.5 - Prob. 63PECh. 7.5 - Prob. 64PECh. 7.5 - Prob. 65PECh. 7.5 - Prob. 66PECh. 7.5 - In Exercises 65-68, write the given sentences as a...Ch. 7.5 - Prob. 68PECh. 7.5 - Prob. 69PECh. 7.5 - Prob. 70PECh. 7.5 - Prob. 71PECh. 7.5 - Prob. 72PECh. 7.5 - Prob. 73PECh. 7.5 - Prob. 74PECh. 7.5 - Prob. 75PECh. 7.5 - Prob. 76PECh. 7.5 - Prob. 77PECh. 7.5 - Prob. 78PECh. 7.5 - The figure shows the healthy weight region for...Ch. 7.5 - Prob. 80PECh. 7.5 - 81. Many elevators have a capacity of 20010...Ch. 7.5 - Prob. 82PECh. 7.5 - Prob. 83PECh. 7.5 - Prob. 84PECh. 7.5 - Prob. 85PECh. 7.5 - Prob. 86PECh. 7.5 - Prob. 87PECh. 7.5 - Prob. 88PECh. 7.5 - Prob. 89PECh. 7.5 - Prob. 90PECh. 7.5 - Prob. 91PECh. 7.5 - Compare the graphs of 3x2y6 and 3x2y6. Discuss...Ch. 7.5 - Prob. 93PECh. 7.5 - Prob. 94PECh. 7.5 - Prob. 95PECh. 7.5 - Prob. 96PECh. 7.5 - Prob. 97PECh. 7.5 - Prob. 98PECh. 7.5 - Prob. 99PECh. 7.5 - Prob. 100PECh. 7.5 - Prob. 101PECh. 7.5 - Prob. 102PECh. 7.5 - Prob. 103PECh. 7.5 - Prob. 104PECh. 7.5 - Prob. 105PECh. 7.5 - Prob. 106PECh. 7.5 - Prob. 107PECh. 7.5 - Prob. 108PECh. 7.5 - Prob. 109PECh. 7.5 - In Exercises 110-113, write a system of...Ch. 7.5 - Prob. 111PECh. 7.5 - In Exercises 110-113, write a system of...Ch. 7.5 - Prob. 113PECh. 7.5 - Prob. 114PECh. 7.5 - Prob. 115PECh. 7.5 - Prob. 116PECh. 7.5 - Prob. 117PECh. 7.5 - Prob. 118PECh. 7.5 - Prob. 119PECh. 7.5 - Prob. 120PECh. 7.5 - Prob. 121PECh. 7.5 - Prob. 122PECh. 7.6 - Check Point 1 A company manufactures bookshelves...Ch. 7.6 - Prob. 2CPCh. 7.6 - Prob. 3CPCh. 7.6 - Prob. 4CPCh. 7.6 - Prob. 5CPCh. 7.6 - Prob. 1CVCCh. 7.6 - Prob. 2CVCCh. 7.6 - Prob. 3CVCCh. 7.6 - In Exercises 1-4, find the value of the objective...Ch. 7.6 - Prob. 2PECh. 7.6 - Prob. 3PECh. 7.6 - Prob. 4PECh. 7.6 - In Exercises 5-14. an objective Junction and a...Ch. 7.6 - Prob. 6PECh. 7.6 - Prob. 7PECh. 7.6 - Prob. 8PECh. 7.6 - In Exercises 5-14, an objective Junction and a...Ch. 7.6 - Prob. 10PECh. 7.6 - In Exercises 5-14, an objective Junction and a...Ch. 7.6 - Prob. 12PECh. 7.6 - Prob. 13PECh. 7.6 - Prob. 14PECh. 7.6 - A television manufacturer makes rear-projection...Ch. 7.6 - a. A student earns $15 per hour for tutoring and...Ch. 7.6 - Use the two steps for solving a linear programming...Ch. 7.6 - Prob. 18PECh. 7.6 - Use the two steps for solving a linear programming...Ch. 7.6 - Use the two steps for solving a linear programming...Ch. 7.6 - Prob. 21PECh. 7.6 - Prob. 22PECh. 7.6 - Prob. 23PECh. 7.6 - Prob. 24PECh. 7.6 - Prob. 25PECh. 7.6 - Prob. 26PECh. 7.6 - Prob. 27PECh. 7.6 - 28. Describe a situation in your lire in which you...Ch. 7.6 - Prob. 29PECh. 7.6 - Prob. 30PECh. 7.6 - Prob. 31PECh. 7.6 - Prob. 32PECh. 7.6 - Prob. 33PECh. 7.6 - Prob. 34PECh. 7.6 - Group members should choose a particular field of...Ch. 7.6 - Prob. 36PECh. 7.6 - Prob. 37PECh. 7.6 - Prob. 38PECh. 7.6 - Prob. 39PECh. 7.6 - Prob. 40PECh. 7.6 - Prob. 41PECh. 7.6 - Prob. 42PECh. 7.6 - Prob. 43PECh. 7 - In Exercises 1 -5, solve by the method of your...Ch. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - A chemist needs to mix a solution that is 34%...Ch. 7 - When a plane flies with the wind, it can travel...Ch. 7 - Solve each system in Exercises 12-13. 12. Ch. 7 - Solve each system in Exercises 12 13....Ch. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - In Exercises 25-35, solve each system by the...Ch. 7 - Prob. 36RECh. 7 - 37. Find the coordinates of all paints (x, y) that...Ch. 7 - Two adjoining square fields with an area of 2900...Ch. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - Prob. 60RECh. 7 - Prob. 61RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Prob. 1CRECh. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - Prob. 10CRECh. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Prob. 17CRECh. 7 - Prob. 18CRECh. 7 - Prob. 19CRECh. 7 - Prob. 20CRECh. 7 - Prob. 21CRECh. 7 - Prob. 22CRECh. 7 - Prob. 23CRECh. 7 - Prob. 24CRECh. 7 - Prob. 25CRECh. 7 - Prob. 26CRECh. 7 - Prob. 27CRECh. 7 - Prob. 28CRECh. 7 - Prob. 29CRECh. 7 - Prob. 30CRECh. 7 - Prob. 31CRECh. 7 - Prob. 32CRECh. 7 - Prob. 33CRECh. 7 - Prob. 34CRECh. 7 - Prob. 35CRECh. 7 - Prob. 36CRECh. 7 - Prob. 37CRECh. 7 - Prob. 38CRECh. 7 - Prob. 39CRECh. 7 - In Exercises 38 -39 , solve each equation. 40. In...
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