ISE Intermediate Algebra
ISE Intermediate Algebra
6th Edition
ISBN: 9781264418756
Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy
Publisher: McGraw Hill
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Chapter 3, Problem 1RE
To determine

a)

Whether the given ordered pair is a solution or not to the given system of linear equations

Expert Solution
Check Mark

Answer to Problem 1RE

The order pair (2, 2) is not a solution to the given system of linear equations.

Explanation of Solution

Given:

The system of linear equation −5x+3y=−1  and 4x−2y=−2

The ordered point (2, 2)

A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. To check that on ordered pair is a solution, substitute the corresponding x and y values into the each equation and then simplify to see if you obtain a true statement for both equations.

Calculation:

Description −5x−7y=4 →Equation 1y=−12x−1→Equation 2    (2, 2)     ↓    ↓     x    y
Step 1:Substitute the ordered pair (2, 2)in the both equations −5(2)−7(2)=4−10−14=4−24=4  2=−12(2)−12=−12(2)−12=−2  
∴ The order pair (2, 2) is not a solution to the system of linear equations −5x−7y=4  and y=−12x−1

Conclusion:

The order pair (2, 2) is not a solution to the system of linear equations −5x−7y=4  and y=−12x−1.

To determine

b)

Whether the given ordered pair is a solution or not to the given system of linear equations

Expert Solution
Check Mark

Answer to Problem 1RE

The order pair (2, −2) is a solution to the given system of linear equations.

Explanation of Solution

Given:

The system of linear equation −5x+3y=−1  and 4x−2y=−2

The ordered point (2, −2)

A solution of an equation in two variables is an ordered pair of real numbers that satisfied the equation. A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. To check that on ordered pair is a solution, substitute the corresponding x and y values into the each equation and then simplify to see if you obtain a true statement for both equations.

Calculation:

Description −5x−7y=4 →Equation 1y=−12x−1→Equation 2   (2, −2)     ↓    ↓     x    y
Step 1:Substitute the ordered pair (2, −2)in the both equations −5(2)−7(−2)=4−10+14=44=4  −2=−12(2)−12=−12(2)−1−2=−2  
∴ The order pair (2, −2) is a solution to the system of linear equations −5x−7y=4  and y=−12x−1

Conclusion:

The order pair (2, −2) is a solution to the system of linear equations −5x−7y=4  and y=−12x−1.

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Chapter 3 Solutions

ISE 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 - 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 - 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 - 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 - 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 - 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 - 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. 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. 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 - Prob. 62RECh. 3 - Prob. 63RECh. 3 - For exercises 61-64, solve the system by using the...Ch. 3 - Prob. 65RECh. 3 - Prob. 66RECh. 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. 27T
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