Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![**Topic: Solving Linear Equations**
**Objective:**
Find an ordered pair \((x, y)\) that is a solution to the given equation.
**Problem Statement:**
Given the equation:
\[ 2x - y = 7 \]
**Task:**
Identify the ordered pair \((x, y)\) that satisfies this equation.
**Answer Input Box:**
\[
(x, y) = \left( \begin{array}{c} \quad \quad \end{array}\right)
\]
**Explanation:**
To find an ordered pair \((x, y)\) that satisfies the equation \(2x - y = 7\), choose a value for \(x\) and solve for \(y\), or vice versa.
1. Choose a value for \(x\). Let \(x = 3\).
2. Substitute \(x = 3\) into the equation:
\[
2(3) - y = 7
\]
3. Simplify and solve for \(y\):
\[
6 - y = 7
\]
\[
-y = 1
\]
\[
y = -1
\]
Therefore, the ordered pair \((3, -1)\) is a solution to the equation.
**Check Your Solution:**
Substitute \(x = 3\) and \(y = -1\) back into the original equation to verify:
\[
2(3) - (-1) = 6 + 1 = 7
\]
Thus, the solution \((3, -1)\) is correct.
**Additional practice:**
Try finding other values of \(x\) and solving for \(y\) to construct more ordered pairs that satisfy the equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2a0c424-9580-4921-9cbc-e3b4792ff10b%2F9a16de93-5876-4d24-a902-36168b70cb4a%2Fo1iu.jpeg&w=3840&q=75)
Transcribed Image Text:**Topic: Solving Linear Equations**
**Objective:**
Find an ordered pair \((x, y)\) that is a solution to the given equation.
**Problem Statement:**
Given the equation:
\[ 2x - y = 7 \]
**Task:**
Identify the ordered pair \((x, y)\) that satisfies this equation.
**Answer Input Box:**
\[
(x, y) = \left( \begin{array}{c} \quad \quad \end{array}\right)
\]
**Explanation:**
To find an ordered pair \((x, y)\) that satisfies the equation \(2x - y = 7\), choose a value for \(x\) and solve for \(y\), or vice versa.
1. Choose a value for \(x\). Let \(x = 3\).
2. Substitute \(x = 3\) into the equation:
\[
2(3) - y = 7
\]
3. Simplify and solve for \(y\):
\[
6 - y = 7
\]
\[
-y = 1
\]
\[
y = -1
\]
Therefore, the ordered pair \((3, -1)\) is a solution to the equation.
**Check Your Solution:**
Substitute \(x = 3\) and \(y = -1\) back into the original equation to verify:
\[
2(3) - (-1) = 6 + 1 = 7
\]
Thus, the solution \((3, -1)\) is correct.
**Additional practice:**
Try finding other values of \(x\) and solving for \(y\) to construct more ordered pairs that satisfy the equation.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education