Q 4.17. Find three solutions to the equa... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 4: Q 4.17. (page 427)

Find three solutions to the equation $2 x + 3 y = 6 .$

Short Answer

Expert verified

The three possible solutions of the given equation are: $(x, y) = (0, 2), (3, 0), (6, - 2)$

Step by step solution

Step 1. Given Information

The given equation are $2 x + 3 y = 6$

Step 2. Find the equation

We can substitute any value we want for $x$ or any value for $y$ . Since the equation is in form, it will be easier to substitute in values of $x$ . Let's pick $x = 0, x = 3,$ and $x = 6 .$

Substitute $x = 0$ in equation

$2 x + 3 y = 6 2 (0) + 3 y = 6 y = 4$

The solution to the equation is $(0, 4) .$

Substitute $x = 3$ in equation

$2 x + 3 y = 6 2 (3) + 3 y = 6 6 + 3 y = 6 y = 0$

The solution to the equation is $(3, 0) .$

Substitute $x = 6$ in equation

$2 x + 3 y = 6 2 (6) + 3 y = 6 12 + 3 y = 6 y = - 2$

The solution to the equation is $(6, - 2) .$

Step 3. Table

Three solutions of the given equation are: $(0, 2), (3, 0), (6, - 2)$

$x$	$y$	$(x, y)$
$0$	$2$	$(0, 2)$
$3$	$0$	$(3, 0)$
$6$	$- 2$	$(6, - 2)$

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Find three solutions to the equation $2 x + 3 y = 6 .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the equation

Step 3. Table

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Probability and Statistics

Calculus

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

x	y	(x,y)
0
2
-1

91影视

Find three solutions to the equation2x+3y=6.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the equation

Step 3. Table

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Probability and Statistics

Calculus

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find three solutions to the equation $2 x + 3 y = 6 .$