Chapter 4: Q. 46 (page 430)

In the following exercises, find three solutions to each linear equation.
$3 x + 2 y = 6$

Short Answer

Expert verified

The three solutions to given linear equation is $(0, 3), (2, 0), (1, \frac{3}{2})$

Step by step solution

Step 1. Given information

In the following exercises we have to find three solutions to each linear equation.
$3 x + 2 y = 6$

Step 2. We can substitute any value we want for x or any value for y.

Since the equation is in standard form, let’s pick first $x = 0, then y = 0$ , and then find a third point.

Step 3. Substitute the value into the equation.

$x = 0 y = 0 x = 1 3 x + 2 y = 6 3 x + 2 y = 6 3 x + 2 y = 6 3 \times 0 + 2 y = 6 3 x + 2 \times 0 = 6 3 \times 1 + 2 y = 6 2 y = 6 3 x = 6 3 + 2 y = 6 \frac{2}{2} y = \frac{6}{2} \frac{3}{3} x = \frac{6}{3} 3 + 2 y - 3 = 6 - 3 y = 3 x = 2 2 y = 3 y = 3 x = 2 \frac{2}{2} y = \frac{3}{2} y = 3 x = 2 y = \frac{3}{2}$

Step 4. Write the ordered pair.

$(0, 3) (2, 0) (1, \frac{3}{2})$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, find three solutions to each linear equation.
$3 x + 2 y = 6$

Short Answer

Step by step solution

Step 1. Given information

Step 2. We can substitute any value we want for x or any value for y.

Step 3. Substitute the value into the equation.

Step 4. Write the ordered pair.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, find three solutions to each linear equation.3x+2y=6

Short Answer

Step by step solution

Step 1. Given information

Step 2. We can substitute any value we want for x or any value for y.

Step 3. Substitute the value into the equation.

Step 4. Write the ordered pair.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, find three solutions to each linear equation.
$3 x + 2 y = 6$