   # Graphing Calculator Activities Use a graphing calculator to check your answers for Problem 64. There is another way of telling whether a system of two linear equations in two unknowns is consistent or inconsistent, or whether the equations are dependent, without taking the time to graph each equation. It can be shown that any system of the form a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 Has one and only one solution if a 1 a 2 ≠ b 1 b 2 That it has no solution if a 1 a 2 = b 1 b 2 ≠ c 1 c 2 And that it has infinitely many solutions if a 1 a 2 = b 1 b 2 = c 1 c 2 For each of the following systems, determine whether the system is consistent, the system is inconsistent, or the equations are dependent. (a) ( 4 x − 3 y = 7 9 x + 2 y = 5 ) (b) ( 5 x − y = 6 10 x − 2 y = 19 ) (c) ( 5 x − 4 y = 11 4 x + 5 y = 12 ) (d) ( x + 2 y = 5 x − 2 y = 9 ) (e) ( x − 3 y = 5 3 x − 9 y = 15 ) (f) ( 4 x + 3 y = 7 2 x − y = 10 ) (g) ( 3 x + 2 y = 4 y = − 3 2 x − 1 ) (h) ( y = 4 3 x − 2 4 x − 3 y = 6 ) ### 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 10.3, Problem 66PS
Textbook Problem
1 views

## Graphing Calculator ActivitiesUse a graphing calculator to check your answers for Problem 64.There is another way of telling whether a system of two linear equations in two unknowns is consistent or inconsistent, or whether the equations are dependent, without taking the time to graph each equation. It can be shown that any system of the form a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 Has one and only one solution if a 1 a 2 ≠ b 1 b 2 That it has no solution if a 1 a 2 = b 1 b 2 ≠ c 1 c 2 And that it has infinitely many solutions if a 1 a 2 = b 1 b 2 = c 1 c 2 For each of the following systems, determine whether the system is consistent, the system is inconsistent, or the equations are dependent. (a) ( 4 x − 3 y = 7 9 x + 2 y = 5 ) (b) ( 5 x − y = 6 10 x − 2 y = 19 ) (c) ( 5 x − 4 y = 11 4 x + 5 y = 12 ) (d) ( x + 2 y = 5 x − 2 y = 9 ) (e) ( x − 3 y = 5 3 x − 9 y = 15 ) (f) ( 4 x + 3 y = 7 2 x − y = 10 ) (g) ( 3 x + 2 y = 4 y = − 3 2 x − 1 ) (h) ( y = 4 3 x − 2 4 x − 3 y = 6 )

To determine

a)

To verify:

The solution for the system by using graphing calculator.

### Explanation of Solution

Given:

(4x3y=79x+2y=5)

Calculation:

The two lines intersect in {(0

To determine

b)

To verify:

The solution for the system by using graphing calculator.

To determine

c)

To verify:

The solution for the system by using graphing calculator.

To determine

d)

To verify:

The solution for the system by using graphing calculator.

To determine

e)

To verify:

The solution for the system by using graphing calculator.

To determine

f)

To verify:

The solution for the system by using graphing calculator.

To determine

g)

To verify:

The solution for the system by using graphing calculator.

To determine

h)

To verify:

The solution for the system by using 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
Simplify the expressions in Exercises 97106. (xy)1/3(yx)1/3

Finite Mathematics and Applied Calculus (MindTap Course List)

Find the limit. 26. limx3x29x2+2x3

Single Variable Calculus

Draw a polygon for the distribution of scores shown in the following table. X f 6 2 5 5 4 3 3 2 2 1

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 9-16, complete the table by computing f(x) at the given values of x. Use these results to estimate...

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

Solve the equation in problem 1-6.; 5.

Mathematical Applications for the Management, Life, and Social Sciences

Find each product: (x+3)(x3)

Elementary Technical Mathematics

How much work is done in lifting a 60-pound bag of bird seed 3 feet in the air? 20 ft-lbs 20g ft-lbs 180 ft-lbs...

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

Describe the major elements of the introduction for an empirical research report.

Research Methods for the Behavioral Sciences (MindTap Course List)

Simplify. 15(r2+r)+(r214)

Mathematics For Machine Technology 