   # Graphing Calculator Activities Use the graphing calculator to help determine whether, in Problems 1-16, the system is consistent, the system is inconsistent, or the equations are dependent. 1. ( x − y = 1 2 x + y = 8 ) 2. ( 3 x + y = 0 x − 2 y = − 7 ) 3. ( 4 x + 3 y = − 5 2 x − 3 y = − 7 ) 4. ( 2 x − y = 9 4 x − 2 y = 11 ) 5. ( 1 2 x + 1 4 y = 9 4 x + 2 y = 72 ) 6. ( 5 x + 2 y = − 9 4 x − 3 y = 2 ) 7. ( 1 2 x − 1 3 y = 3 x + 4 y = − 8 ) 8. ( 4 x − 9 y = − 60 1 3 x − 3 4 y = − 5 ) 9. ( x − y 2 = − 4 8 x − 4 y = − 1 ) 10. ( 3 x − 2 y = 7 6 x + 5 y = − 4 ) 11. ( x + 2 y = 4 2 x − y = 3 ) 12. ( 2 x − y = − 8 x + y = 2 ) 13. ( y = 2 x + 5 x + 3 y = − 6 ) 14. ( y = 4 − 2 x y = 7 − 3 x ) 15. ( y = 2 x 3 x − 2 y = − 2 ) 16. ( y = − 2 x 3 x − y = 0 ) ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

#### Solutions

Chapter
Section ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 10.1, Problem 35PS
Textbook Problem
1 views

## Graphing Calculator ActivitiesUse the graphing calculator to help determine whether, in Problems 1-16, the system is consistent, the system is inconsistent, or the equations are dependent.1. ( x − y = 1 2 x + y = 8 ) 2. ( 3 x + y = 0 x − 2 y = − 7 ) 3. ( 4 x + 3 y = − 5 2 x − 3 y = − 7 ) 4. ( 2 x − y = 9 4 x − 2 y = 11 ) 5. ( 1 2 x + 1 4 y = 9 4 x + 2 y = 72 ) 6. ( 5 x + 2 y = − 9 4 x − 3 y = 2 ) 7. ( 1 2 x − 1 3 y = 3 x + 4 y = − 8 ) 8. ( 4 x − 9 y = − 60 1 3 x − 3 4 y = − 5 ) 9. ( x − y 2 = − 4 8 x − 4 y = − 1 ) 10. ( 3 x − 2 y = 7 6 x + 5 y = − 4 ) 11. ( x + 2 y = 4 2 x − y = 3 ) 12. ( 2 x − y = − 8 x + y = 2 ) 13. ( y = 2 x + 5 x + 3 y = − 6 ) 14. ( y = 4 − 2 x y = 7 − 3 x ) 15. ( y = 2 x 3 x − 2 y = − 2 ) 16. ( y = − 2 x 3 x − y = 0 )

To determine

(1)

To solve:

The given system by using the graphing calculator.

### Explanation of Solution

Consistent System:

The graphs of the two equations are two lines intersecting in one point, and there is one solution. This is called a consistent solution.

Inconsistent System:

The graphs of the two equations are two lines are parallel lines, and there is no solution. This is called an inconsistent solution.

Dependent:

The graphs of the two equations are two lines are same lines, and there are infinitely many solutions to the system. Any pair of real numbers that satisfies one of the equations will also satisfy the other equation. We say that the equations are dependent.

Given:

Use the graphing calculator approach to determine whether the system is consistent, the system is inconsistent, or the equations are dependent.

(xy=12x+y=8)

Calculation:

To evaluate a system such as (xy=12x+y=8) on a graphing calculator required keys are +, , = and ENTER

To determine

(2)

To solve:

The given system by using the graphing calculator.

To determine

(3)

To solve:

The given system by using the graphing calculator.

To determine

(4)

To solve:

The given system by using the graphing calculator.

To determine

(5)

To solve:

The given system by using the graphing calculator.

To determine

(6)

To solve:

The given system by using the graphing calculator.

To determine

(7)

To solve:

The given system by using the graphing calculator.

To determine

(8)

To solve:

The given system by using the graphing calculator.

To determine

(9)

To solve:

The given system by using the graphing calculator.

To determine

(9)

To solve:

The given system by using the graphing calculator.

To determine

(11)

To solve:

The given system by using the graphing calculator.

To determine

(12)

To solve:

The given system by using the graphing calculator.

To determine

(13)

To solve:

The given system by using the graphing calculator.

To determine

(14)

To solve:

The given system by using the graphing calculator.

To determine

(15)

To solve:

The given system by using the graphing calculator.

To determine

(16)

To solve:

The given system by using the graphing calculator.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
In Exercises 4562, find the values of x that satisfy the inequality (inequalities). 54. x 4 1 and x + 3 2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In Exercises 516, evaluate the given quantity. log4116

Finite Mathematics and Applied Calculus (MindTap Course List)

Prove Formula 3 of Theorem 3.

Calculus (MindTap Course List)

Find the critical numbers of the function. f() = 2 cos + sin2

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate the integral. 29. ln(x+x21)dx

Calculus: Early Transcendentals

Multiply. (x+y)2

Trigonometry (MindTap Course List)

True or False: The Mean Value Theorem for Integrals is a restatement of the Mean Value Theorem (of Chapter 4) b...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Find each value without using a calculator. lne-6

College Algebra (MindTap Course List) 