Homework Help is Here – Start Your Trial Now!
Math
Algebra
7. y=-2x+14 y =5x-7

7. y=-2x+14 y =5x-7

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question
solve each system of equation by substitution. clearly identify your solution.
The image presents a system of linear equations as follows: 1. \( y = -2x + 14 \) 2. \( y = 5x - 7 \) This system involves two equations in the slope-intercept form, where \( y = mx + b \). - In the first equation, the slope (\( m \)) is -2, and the y-intercept (\( b \)) is 14. - In the second equation, the slope (\( m \)) is 5, and the y-intercept (\( b \)) is -7. Understanding these equations allows you to analyze their graphical representation. Each equation represents a straight line on a coordinate plane. The solution to this system, if it exists, is the point where both lines intersect. ### Graphical Explanation: - **Line 1:** Begins at point (0, 14) and has a slope of -2, indicating it decreases by 2 units on the y-axis for every 1 unit it moves to the right along the x-axis. - **Line 2:** Begins at point (0, -7) and increases by 5 units on the y-axis for every 1 unit it moves to the right along the x-axis. By plotting these lines on a graph, you seek to find their intersection point, which gives the values of \( x \) and \( y \) that satisfy both equations simultaneously.
Transcribed Image Text:The image presents a system of linear equations as follows: 1. \( y = -2x + 14 \) 2. \( y = 5x - 7 \) This system involves two equations in the slope-intercept form, where \( y = mx + b \). - In the first equation, the slope (\( m \)) is -2, and the y-intercept (\( b \)) is 14. - In the second equation, the slope (\( m \)) is 5, and the y-intercept (\( b \)) is -7. Understanding these equations allows you to analyze their graphical representation. Each equation represents a straight line on a coordinate plane. The solution to this system, if it exists, is the point where both lines intersect. ### Graphical Explanation: - **Line 1:** Begins at point (0, 14) and has a slope of -2, indicating it decreases by 2 units on the y-axis for every 1 unit it moves to the right along the x-axis. - **Line 2:** Begins at point (0, -7) and increases by 5 units on the y-axis for every 1 unit it moves to the right along the x-axis. By plotting these lines on a graph, you seek to find their intersection point, which gives the values of \( x \) and \( y \) that satisfy both equations simultaneously.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS