   # Use your graphing calculator to help determine whether, in Problems 1 − 10 , the system is consistent, the system is inconsistent, or the equations are dependent. 1. ( x + y = 20 x = y − 4 ) 2. ( x + y = 23 y = x − 5 ) 3. ( y = − 3 x − 18 5 x − 2 y = − 8 ) 4. ( 4 x − 3 y = 33 x = − 4 y − 25 ) 5. ( x = − 3 y 7 x − 2 y = − 69 ) 6. ( 9 x − 2 y = − 38 y = − 5 x ) 7. ( 2 x + 3 y = 11 3 x − 2 y = − 3 ) 8. ( 3 x − 4 y = − 14 4 x + 3 y = 23 ) 9. ( 3 x − 4 y = 9 x = 4 y − 1 ) 10. ( y = 3 x − 5 2 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 10.2, Problem 44PS
Textbook Problem
1 views

## Use your graphing calculator to help determine whether, in Problems 1 − 10 , the system is consistent, the system is inconsistent, or the equations are dependent. 1. ( x + y = 20 x = y − 4 ) 2. ( x + y = 23 y = x − 5 ) 3. ( y = − 3 x − 18 5 x − 2 y = − 8 ) 4. ( 4 x − 3 y = 33 x = − 4 y − 25 ) 5. ( x = − 3 y 7 x − 2 y = − 69 ) 6. ( 9 x − 2 y = − 38 y = − 5 x ) 7. ( 2 x + 3 y = 11 3 x − 2 y = − 3 ) 8. ( 3 x − 4 y = − 14 4 x + 3 y = 23 ) 9. ( 3 x − 4 y = 9 x = 4 y − 1 ) 10. ( y = 3 x − 5 2 x + 3 y = 6 )

To determine

1.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (x+y=20x=y4).

### Explanation of Solution

Given:

The given system of equation is,

(x+y=20x=y4)

Calculation:

Solve equation x+y=20 for y in terms of x.

x+y=20y=20x

Solve equation y=x+4 for y in terms of x.

x=y4y=x+4

First press “ON” button on graphical calculator, press Y= key and enter right hand side of the equation x+y=20 after the symbol Y1

To determine

2.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (x+y=23y=x5).

To determine

3.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (y=3x185x2y=8).

To determine

4.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (4x3y=33x=4y25).

To determine

5.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (x=3y7x2y=69).

To determine

6.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (9x2y=38y=5x).

To determine

7.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (2x+3y=11x=4y1).

To determine

8.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (3x4y=144x+3y=23).

To determine

9.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (3x4y=9x=4y1).

To determine

10.

To find:

Whether the system is consistent, the system is inconsistent, or the equations are dependent for the given system of equation (y=3x52x+3y=6).

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