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O (2, 4) O (3, -1) O (0.-4)

O (2, 4) O (3, -1) O (0.-4)

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,...
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**Title: Solving Systems of Linear Equations** **Graph Analysis** The image presents a graph with two intersecting lines: one red and one blue. These lines represent two linear equations graphed on a standard coordinate plane with x and y axes. - **Red Line:** This line is descending from the top left to the bottom right. - **Blue Line:** This line ascends from the bottom left to the top right. **Axes and Grid:** - The graph includes grid lines to help with identifying specific points. Each unit is marked with a number for clarity. **Objectives:** Determine the solution to the system of equations represented by the intersecting lines. The solution is the point where the two lines cross. **Options for the Solution:** - (2, 4) - (3, -1) - (0, -4) - There is no solution to this system. **Solution Explanation:** By examining where the red and blue lines intersect on the graph, identify the coordinates of this intersection point. This point represents the solution to the system of equations, meaning it is the set of values for x and y that satisfy both equations represented by the lines. **Educational Note:** The solution to a system of equations in two variables can often be found by graphing them and locating the point where the lines intersect. If the lines are parallel, there will be no solution, and if they are identical, there will be infinitely many solutions.
Transcribed Image Text:**Title: Solving Systems of Linear Equations** **Graph Analysis** The image presents a graph with two intersecting lines: one red and one blue. These lines represent two linear equations graphed on a standard coordinate plane with x and y axes. - **Red Line:** This line is descending from the top left to the bottom right. - **Blue Line:** This line ascends from the bottom left to the top right. **Axes and Grid:** - The graph includes grid lines to help with identifying specific points. Each unit is marked with a number for clarity. **Objectives:** Determine the solution to the system of equations represented by the intersecting lines. The solution is the point where the two lines cross. **Options for the Solution:** - (2, 4) - (3, -1) - (0, -4) - There is no solution to this system. **Solution Explanation:** By examining where the red and blue lines intersect on the graph, identify the coordinates of this intersection point. This point represents the solution to the system of equations, meaning it is the set of values for x and y that satisfy both equations represented by the lines. **Educational Note:** The solution to a system of equations in two variables can often be found by graphing them and locating the point where the lines intersect. If the lines are parallel, there will be no solution, and if they are identical, there will be infinitely many solutions.
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