   # (a) Graph 2 x + 3 y = 4 , 2 x + 3 y = − 6 , 4 x + 6 y = 7 and 8 x + 12 y = − 1 on the same set of axes. (b) Graph 5 x − 2 y = 4 , 5 x − 2 y = − 3 , 10 x − 4 y = 3 and 15 x − 6 y = 30 on the same set of axes. (c) Graph x + 4 y = 8 , x + 4 y = 8 , x + 4 y = 6 and 3 x + 12 y = 10 on the same set of axes. (d) Graph 3 x − 4 y = 6 , 3 x − 4 y = 10 , 6 x − 8 y = 20 and 6 x − 8 y = 24 on the same set of axes. (e) For each of the following pair of line, (a) Predict whether they are parallel lines and (b) graph each pair of lines to check your prediction. (1) 5 x − 2 y = 10 and 5 x − 2 y = − 4 (2) x + y = 6 and x − y = 4 (3) 2 x + y = 8 and 4 x + 2 y = 2 (4) y = 0.2 x + 2 and y = 0.2 x − 4 (5) 3 x − 2 y = 4 and 3 x + 2 y = 4 (6) 4 x − 3 y = 8 and 8 x − 6 y = 6 (7) 2 x − y = 10 and 6 x − 3 y = 6 (8) x + 2 y = 6 and 3 x − 6 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 7.1, Problem 58PS
Textbook Problem
3 views

## (a) Graph 2 x + 3 y = 4 , 2 x + 3 y = − 6 , 4 x + 6 y = 7 and 8 x + 12 y = − 1 on the same set of axes.(b) Graph 5 x − 2 y = 4 , 5 x − 2 y = − 3 , 10 x − 4 y = 3 and 15 x − 6 y = 30 on the same set of axes.(c) Graph x + 4 y = 8 , x + 4 y = 8 , x + 4 y = 6 and 3 x + 12 y = 10 on the same set of axes.(d) Graph 3 x − 4 y = 6 , 3 x − 4 y = 10 , 6 x − 8 y = 20 and 6 x − 8 y = 24 on the same set of axes.(e) For each of the following pair of line, (a) Predict whether they are parallel lines and (b) graph each pair of lines to check your prediction.(1) 5 x − 2 y = 10 and 5 x − 2 y = − 4 (2) x + y = 6 and x − y = 4 (3) 2 x + y = 8 and 4 x + 2 y = 2 (4) y = 0.2 x + 2 and y = 0.2 x − 4 (5) 3 x − 2 y = 4 and 3 x + 2 y = 4 (6) 4 x − 3 y = 8 and 8 x − 6 y = 6 (7) 2 x − y = 10 and 6 x − 3 y = 6 (8) x + 2 y = 6 and 3 x − 6 y = 6

To determine

(a)

To draw:

The graph for given equation on same set of axes.

### Explanation of Solution

Given:

The given equations are,

2x+3y=4

2x+3y=6

4x+6y=7

8x+12y=1

Approach:

Calculation:

Consider the equation,

2x+3y=4

First solve the equation for y in terms of x.

3y=42xy=42x3

Consider the equation,

2x+3y=6

First solve the equation for y in terms of x.

y=62x3

Consider the equation,

4x+6y=7

First solve the equation for y in terms of x.

To determine

(b)

To draw:

The graph for given equation on same set of axes.

To determine

(c)

To draw:

The graph for given equation on same set of axes.

To determine

(d)

To draw:

The graph for given equation on same set of axes.

To determine

(e)

To draw:

The graph for the given pair of line

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