Intermediate Algebra
5th Edition
ISBN: 9781259610233
Author: Julie Miller, Molly O'Neill, Nancy Hyde
Publisher: McGraw-Hill Education
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Chapter 3.5, Problem 31PE
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Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
Question 2. Consider the system
= 1
=-2
= 1
3x1 - x2 + ax3
= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
For what values of a, b will the saystem have infinitely many solutions?
Chapter 3 Solutions
Intermediate Algebra
Ch. 3.1 - A ______________ of linear equations consists of...Ch. 3.1 - From the graph shown, determine the solution to...Ch. 3.1 - Prob. 3PECh. 3.1 - Prob. 4PECh. 3.1 - For exercises 3-8, determine which points are...Ch. 3.1 - For exercises 3-8, determine which points are...Ch. 3.1 - For exercises 3-8, determine which points are...Ch. 3.1 - For exercises 3-8, determine which points are...Ch. 3.1 - Prob. 9PECh. 3.1 - Prob. 10PE
Ch. 3.1 - For exercises 9-14, the graph of a system of...Ch. 3.1 - Prob. 12PECh. 3.1 - Prob. 13PECh. 3.1 - For exercises 9-14, the graph of a system of...Ch. 3.1 - Prob. 15PECh. 3.1 - Prob. 16PECh. 3.1 - Prob. 17PECh. 3.1 - Prob. 18PECh. 3.1 - For exercises 15-32, solve the system by graphing....Ch. 3.1 - For exercises 15-32, solve the system by graphing....Ch. 3.1 - Prob. 21PECh. 3.1 - Prob. 22PECh. 3.1 - For exercises 15-32, solve the system by graphing....Ch. 3.1 - Prob. 24PECh. 3.1 - Prob. 25PECh. 3.1 - For exercises 15-32, solve the system by graphing....Ch. 3.1 - Prob. 27PECh. 3.1 - For exercises 15-32, solve the system by graphing....Ch. 3.1 - For exercises 15-32, solve the system by graphing....Ch. 3.1 - Prob. 30PECh. 3.1 - Prob. 31PECh. 3.1 - For exercises 15-32, solve the system by graphing....Ch. 3.1 - For exercises 33-36, identify each statement as...Ch. 3.1 - Prob. 34PECh. 3.1 - For exercises 33-36, identify each statement as...Ch. 3.1 - Prob. 36PECh. 3.1 - Prob. 37PECh. 3.1 - Write a system of equations with solution set...Ch. 3.1 - Prob. 39PECh. 3.1 - Prob. 40PECh. 3.1 - For exercises 41- 44, use a graphing calculator to...Ch. 3.1 - Prob. 42PECh. 3.1 - Prob. 43PECh. 3.1 - For exercises 41- 44, use a graphing calculator to...Ch. 3.2 - For Exercises 1-4, use the slope- intercept form...Ch. 3.2 - Prob. 2PECh. 3.2 - For Exercises 1-4, use the slope- intercept form...Ch. 3.2 - Prob. 4PECh. 3.2 - Prob. 5PECh. 3.2 - Prob. 6PECh. 3.2 - For exercises 6-7, solve the system by graphing....Ch. 3.2 - Prob. 8PECh. 3.2 - Prob. 9PECh. 3.2 - Prob. 10PECh. 3.2 - For exercises 8-22, solve by using the...Ch. 3.2 - Prob. 12PECh. 3.2 - Prob. 13PECh. 3.2 - Prob. 14PECh. 3.2 - For exercises 8-22, solve by using the...Ch. 3.2 - Prob. 16PECh. 3.2 - Prob. 17PECh. 3.2 - Prob. 18PECh. 3.2 - For exercises 8-22, solve by using the...Ch. 3.2 - Prob. 20PECh. 3.2 - Prob. 21PECh. 3.2 - For exercises 8-22, solve by using the...Ch. 3.2 - Prob. 23PECh. 3.2 - Prob. 24PECh. 3.2 - For exercises 23-30, solve the system using the...Ch. 3.2 - For exercises 23-30, solve the system using the...Ch. 3.2 - For exercises 23-30, solve the system using the...Ch. 3.2 - For exercises 23-30, solve the system using the...Ch. 3.2 - For exercises 23-30, solve the system using the...Ch. 3.2 - For exercises 23-30, solve the system using the...Ch. 3.2 - When using the substitution method, explain how to...Ch. 3.2 - when using the substitution method, explain how to...Ch. 3.2 - For exercises 33-56, solve the system using the...Ch. 3.2 - For exercises 33-56, solve the system using the...Ch. 3.2 - Prob. 35PECh. 3.2 - Prob. 36PECh. 3.2 - Prob. 37PECh. 3.2 - For exercises 33-56, solve the system using the...Ch. 3.2 - Prob. 39PECh. 3.2 - Prob. 40PECh. 3.2 - Prob. 41PECh. 3.2 - For exercises 33-56, solve the system using the...Ch. 3.2 - Prob. 43PECh. 3.2 - Prob. 44PECh. 3.2 - Prob. 45PECh. 3.2 - For exercises 33-56, solve the system using the...Ch. 3.2 - Prob. 47PECh. 3.2 - Prob. 48PECh. 3.2 - Prob. 49PECh. 3.2 - For exercises 33-56, solve the system using the...Ch. 3.2 - Prob. 51PECh. 3.2 - Prob. 52PECh. 3.2 - Prob. 53PECh. 3.2 - For exercises 33-56, solve the system using the...Ch. 3.2 - Prob. 55PECh. 3.2 - Prob. 56PECh. 3.2 - Prob. 57PECh. 3.2 - ]58. a. Find the slope intercept from of the line...Ch. 3.2 - Prob. 59PECh. 3.2 - Prob. 60PECh. 3.3 - a. By what non-zero constant would the second...Ch. 3.3 - Prob. 2PECh. 3.3 - Prob. 3PECh. 3.3 - For exercises 2-4 use the slope-intercept form of...Ch. 3.3 - For exercises 5 -16, solve the system by using the...Ch. 3.3 - Prob. 6PECh. 3.3 - Prob. 7PECh. 3.3 - Prob. 8PECh. 3.3 - Prob. 9PECh. 3.3 - For exercises 5 -16, solve the system by using the...Ch. 3.3 - Prob. 11PECh. 3.3 - Prob. 12PECh. 3.3 - Prob. 13PECh. 3.3 - Prob. 14PECh. 3.3 - For exercises 5 -16, solve the system by using the...Ch. 3.3 - Prob. 16PECh. 3.3 - Prob. 17PECh. 3.3 - Prob. 18PECh. 3.3 - Prob. 19PECh. 3.3 - For exercises 17- 24, solve the system. For...Ch. 3.3 - Prob. 21PECh. 3.3 - Prob. 22PECh. 3.3 - Prob. 23PECh. 3.3 - Prob. 24PECh. 3.3 - Describe a situation in which you would prefer to...Ch. 3.3 - Prob. 26PECh. 3.3 - Prob. 27PECh. 3.3 - Prob. 28PECh. 3.3 - Prob. 29PECh. 3.3 - Prob. 30PECh. 3.3 - Prob. 31PECh. 3.3 - Prob. 32PECh. 3.3 - Prob. 33PECh. 3.3 - Prob. 34PECh. 3.3 - For exercises 33- 56, solve the system. For...Ch. 3.3 - Prob. 36PECh. 3.3 - Prob. 37PECh. 3.3 - Prob. 38PECh. 3.3 - Prob. 39PECh. 3.3 - For exercises 33- 56, solve the system. For...Ch. 3.3 - Prob. 41PECh. 3.3 - Prob. 42PECh. 3.3 - Prob. 43PECh. 3.3 - Prob. 44PECh. 3.3 - For exercises 33- 56, solve the system. For...Ch. 3.3 - Prob. 46PECh. 3.3 - Prob. 47PECh. 3.3 - Prob. 48PECh. 3.3 - Prob. 49PECh. 3.3 - For exercises 33- 56, solve the system. For...Ch. 3.3 - Prob. 51PECh. 3.3 - Prob. 52PECh. 3.3 - Prob. 53PECh. 3.3 - For exercises 33- 56, solve the system. For...Ch. 3.3 - For exercises 33- 56, solve the system. For...Ch. 3.3 - Prob. 56PECh. 3.3 - Prob. 57PECh. 3.3 - Prob. 58PECh. 3.3 - Prob. 59PECh. 3.3 - Sometimes the solution to a system is an ordered...Ch. 3.3 - Prob. 61PECh. 3.3 - Prob. 1PRECh. 3.3 - Prob. 2PRECh. 3.3 - Prob. 3PRECh. 3.3 - Prob. 4PRECh. 3.3 - Prob. 5PRECh. 3.3 - Prob. 6PRECh. 3.3 - Prob. 7PRECh. 3.3 - Prob. 8PRECh. 3.4 - a.) If the cost of one shirt is $ 12, how much...Ch. 3.4 - Prob. 2PECh. 3.4 - Prob. 3PECh. 3.4 - For exercises 3-4 , state which method you would...Ch. 3.4 - Prob. 5PECh. 3.4 - Prob. 6PECh. 3.4 - Prob. 7PECh. 3.4 - A group of four golfers paid $300 to play a round...Ch. 3.4 - Prob. 9PECh. 3.4 - Prob. 10PECh. 3.4 - Prob. 11PECh. 3.4 - Logan wants to mix an 18% acid solution with a 45%...Ch. 3.4 - Prob. 13PECh. 3.4 - Prob. 14PECh. 3.4 - Prob. 15PECh. 3.4 - a fruit punch that contains 25% fruit juice is...Ch. 3.4 - Prob. 17PECh. 3.4 - Prob. 18PECh. 3.4 - Prob. 19PECh. 3.4 - Jody invested $5000 less in an account paying 3%...Ch. 3.4 - Prob. 21PECh. 3.4 - Prob. 22PECh. 3.4 - Prob. 23PECh. 3.4 - A plane flew 720 mi in 3 hr with the wind. It...Ch. 3.4 - Prob. 25PECh. 3.4 - Prob. 26PECh. 3.4 - Prob. 27PECh. 3.4 - rides a total of 48km in the bicycle portion of a...Ch. 3.4 - Prob. 29PECh. 3.4 - Prob. 30PECh. 3.4 - Prob. 31PECh. 3.4 - The measure of one angle is 5 times the measure of...Ch. 3.4 - Prob. 33PECh. 3.4 - Prob. 34PECh. 3.4 - Prob. 35PECh. 3.4 - Connie is the head of maintenance at a large...Ch. 3.4 - Prob. 37PECh. 3.4 - Prob. 38PECh. 3.4 - Prob. 39PECh. 3.4 - A basketball player scored 19 points by shooting...Ch. 3.4 - Prob. 41PECh. 3.4 - Prob. 42PECh. 3.4 - Prob. 43PECh. 3.4 - In a right triangle, the measure of one acute...Ch. 3.4 - Prob. 45PECh. 3.4 - Prob. 46PECh. 3.4 - Prob. 47PECh. 3.4 - a rental car company rents a compact car for $20 a...Ch. 3.5 - An inequality that can be written in the form Ax...Ch. 3.5 - For exercises 2-5 solve the inequalities. Write...Ch. 3.5 - Prob. 3PECh. 3.5 - Prob. 4PECh. 3.5 - Prob. 5PECh. 3.5 - For exercises 6-9, decide if the given point is a...Ch. 3.5 - Prob. 7PECh. 3.5 - Prob. 8PECh. 3.5 - Prob. 9PECh. 3.5 - when should you use a dashed line to graph the...Ch. 3.5 - Prob. 11PECh. 3.5 - Prob. 12PECh. 3.5 - Prob. 13PECh. 3.5 - Prob. 14PECh. 3.5 - exercises 11 -16, decide which inequality symbol...Ch. 3.5 - Prob. 16PECh. 3.5 - Prob. 17PECh. 3.5 - Prob. 18PECh. 3.5 - Prob. 19PECh. 3.5 - For exercises 17 40, graph the solution set (see...Ch. 3.5 - Prob. 21PECh. 3.5 - Prob. 22PECh. 3.5 - Prob. 23PECh. 3.5 - Prob. 24PECh. 3.5 - For exercises 17 40, graph the solution set (see...Ch. 3.5 - Prob. 26PECh. 3.5 - Prob. 27PECh. 3.5 - Prob. 28PECh. 3.5 - Prob. 29PECh. 3.5 - For exercises 17 40, graph the solution set (see...Ch. 3.5 - Prob. 31PECh. 3.5 - Prob. 32PECh. 3.5 - Prob. 33PECh. 3.5 - Prob. 34PECh. 3.5 - For exercises 17 40, graph the solution set (see...Ch. 3.5 - Prob. 36PECh. 3.5 - Prob. 37PECh. 3.5 - Prob. 38PECh. 3.5 - Prob. 39PECh. 3.5 - For exercises 17 40, graph the solution set (see...Ch. 3.5 - Prob. 41PECh. 3.5 - Prob. 42PECh. 3.5 - Prob. 43PECh. 3.5 - For exercises 41-55, graph the solution set of...Ch. 3.5 - For exercises 41-55, graph the solution set of...Ch. 3.5 - Prob. 46PECh. 3.5 - Prob. 47PECh. 3.5 - Prob. 48PECh. 3.5 - Prob. 49PECh. 3.5 - For exercises 41-55, graph the solution set of...Ch. 3.5 - Prob. 51PECh. 3.5 - Prob. 52PECh. 3.5 - Prob. 53PECh. 3.5 - Prob. 54PECh. 3.5 - For exercises 41-55, graph the solution set of...Ch. 3.5 - Prob. 56PECh. 3.5 - Prob. 57PECh. 3.5 - Prob. 58PECh. 3.5 - Prob. 59PECh. 3.5 - Suppose Sue has 50ft of fencing with which she can...Ch. 3.5 - Prob. 61PECh. 3.5 - A manufacturer produces two model of desks. Model...Ch. 3.5 - Prob. 63PECh. 3.6 - Prob. 1PECh. 3.6 - Prob. 2PECh. 3.6 - Prob. 3PECh. 3.6 - Prob. 4PECh. 3.6 - Prob. 5PECh. 3.6 - 6. How many solutions are possible when solving a...Ch. 3.6 - Which of the following points are solutions to the...Ch. 3.6 - Prob. 8PECh. 3.6 - Prob. 9PECh. 3.6 - which of the following points are solutions to the...Ch. 3.6 - Prob. 11PECh. 3.6 - Prob. 12PECh. 3.6 - Prob. 13PECh. 3.6 - Prob. 14PECh. 3.6 - Prob. 15PECh. 3.6 - Prob. 16PECh. 3.6 - Prob. 17PECh. 3.6 - Prob. 18PECh. 3.6 - Prob. 19PECh. 3.6 - Prob. 20PECh. 3.6 - Prob. 21PECh. 3.6 - Prob. 22PECh. 3.6 - Prob. 23PECh. 3.6 - Prob. 24PECh. 3.6 - Prob. 25PECh. 3.6 - Prob. 26PECh. 3.6 - Prob. 27PECh. 3.6 - Prob. 28PECh. 3.6 - Prob. 29PECh. 3.6 - Prob. 30PECh. 3.6 - Prob. 31PECh. 3.6 - Prob. 32PECh. 3.6 - Prob. 33PECh. 3.6 - Prob. 34PECh. 3.6 - Prob. 35PECh. 3.6 - Prob. 36PECh. 3.6 - Prob. 37PECh. 3.6 - Prob. 38PECh. 3.6 - Prob. 39PECh. 3.6 - Prob. 40PECh. 3.6 - Prob. 41PECh. 3.6 - Prob. 42PECh. 3.6 - Prob. 43PECh. 3.6 - Prob. 44PECh. 3.6 - Prob. 45PECh. 3.6 - Prob. 46PECh. 3.6 - Prob. 47PECh. 3.6 - Prob. 48PECh. 3.6 - Prob. 49PECh. 3.6 - Prob. 50PECh. 3.7 - A ________________ is a rectangular array of...Ch. 3.7 - Prob. 2PECh. 3.7 - Prob. 3PECh. 3.7 - For exercises 3-5, solve the system by using any...Ch. 3.7 - Prob. 5PECh. 3.7 - Prob. 6PECh. 3.7 - Prob. 7PECh. 3.7 - Prob. 8PECh. 3.7 - For Exercises 6-14, (a) determine the order of...Ch. 3.7 - Prob. 10PECh. 3.7 - Prob. 11PECh. 3.7 - Prob. 12PECh. 3.7 - Prob. 13PECh. 3.7 - Prob. 14PECh. 3.7 - Prob. 15PECh. 3.7 - Prob. 16PECh. 3.7 - Prob. 17PECh. 3.7 - Prob. 18PECh. 3.7 - Prob. 19PECh. 3.7 - Prob. 20PECh. 3.7 - Prob. 21PECh. 3.7 - Prob. 22PECh. 3.7 - Prob. 23PECh. 3.7 - Prob. 24PECh. 3.7 - Prob. 25PECh. 3.7 - Prob. 26PECh. 3.7 - Prob. 27PECh. 3.7 - Prob. 28PECh. 3.7 - Prob. 29PECh. 3.7 - Prob. 30PECh. 3.7 - Prob. 31PECh. 3.7 - Prob. 32PECh. 3.7 - Prob. 33PECh. 3.7 - Prob. 34PECh. 3.7 - Prob. 35PECh. 3.7 - Prob. 36PECh. 3.7 - Prob. 37PECh. 3.7 - Prob. 38PECh. 3.7 - Prob. 39PECh. 3.7 - Prob. 40PECh. 3.7 - Prob. 41PECh. 3.7 - Prob. 42PECh. 3.7 - Prob. 43PECh. 3.7 - Prob. 44PECh. 3.7 - Prob. 45PECh. 3.7 - Prob. 46PECh. 3.7 - Prob. 47PECh. 3.7 - Prob. 48PECh. 3.7 - Prob. 49PECh. 3.7 - Prob. 50PECh. 3.7 - Prob. 51PECh. 3.7 - Prob. 52PECh. 3.7 - Prob. 53PECh. 3.7 - Prob. 54PECh. 3.7 - For Exercises 41-56, solve the system by the...Ch. 3.7 - Prob. 56PECh. 3.7 - Prob. 57PECh. 3.7 - Prob. 58PECh. 3.7 - Prob. 59PECh. 3.7 - Prob. 60PECh. 3.7 - Prob. 61PECh. 3.7 - For exercises 57- 62, use the matrix features on a...Ch. 3 - Prob. 1CRECh. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - Prob. 5CRECh. 3 - Prob. 6CRECh. 3 - Prob. 7CRECh. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - Prob. 11CRECh. 3 - Prob. 12CRECh. 3 - Prob. 13CRECh. 3 - Prob. 14CRECh. 3 - Prob. 15CRECh. 3 - Prob. 16CRECh. 3 - Prob. 17CRECh. 3 - Prob. 18CRECh. 3 - Prob. 19CRECh. 3 - Prob. 20CRECh. 3 - Prob. 21CRECh. 3 - Prob. 22CRECh. 3 - Prob. 23CRECh. 3 - Prob. 24CRECh. 3 - Prob. 25CRECh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - The cost y (in $) to rent a car for days is given...Ch. 3 - For exercises 17-26, solve the system by using the...Ch. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - Prob. 49RECh. 3 - Prob. 50RECh. 3 - Prob. 51RECh. 3 - Prob. 52RECh. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - Prob. 57RECh. 3 - Prob. 58RECh. 3 - Prob. 59RECh. 3 - Prob. 60RECh. 3 - Prob. 61RECh. 3 - For exercises 61-64, solve the system by using the...Ch. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - Prob. 1TCh. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Prob. 5TCh. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Prob. 9TCh. 3 - Prob. 10TCh. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - Prob. 15TCh. 3 - Prob. 16TCh. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Prob. 20TCh. 3 - Prob. 21TCh. 3 - Prob. 22TCh. 3 - Prob. 23TCh. 3 - Prob. 24TCh. 3 - Prob. 25TCh. 3 - Prob. 26TCh. 3 - Prob. 27TCh. 3 - Prob. 1GACh. 3 - Prob. 2GACh. 3 - Prob. 3GACh. 3 - Prob. 4GACh. 3 - Prob. 5GACh. 3 - Prob. 6GACh. 3 - Prob. 7GA
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Publisher:McGraw-Hill Education
What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY