Class 10 Exam > Class 10 Questions > Solve the given system of equations graphical...
Start Learning for Free
Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?
Most Upvoted Answer
Solve the given system of equations graphically and Find the vertices ...
Community Answer
Solve the given system of equations graphically and Find the vertices ...
Graphical Solution of the System of Equations and Finding the Area of the Triangle
Graphical Solution:
- Plot the two given lines on a graph.
- Find the points of intersection of the two lines, these points will represent the vertices of the triangle.
- Connect the vertices to form the triangle.
Finding the Vertices:
- Solve the two equations simultaneously to find the points of intersection.
- 5x - y - 7 = 0 --> y = 5x - 7
- x - y = 1 --> y = x - 1
- Equate the two expressions for y: 5x - 7 = x - 1
- Solve for x: 4x = 6 --> x = 1.5
- Substitute x back into one of the equations to find y: y = 1.5 - 1 = 0.5
- The vertices are A(0, -7), B(1.5, 0.5), and C(2, 1).
Finding the Area of the Triangle:
- Calculate the base and height of the triangle.
- Base = x-coordinate of point B = 1.5
- Height = y-coordinate of point A = -7
- Area = 0.5 * base * height = 0.5 * 1.5 * 7 = 5.25 sq. units
Explanation of Discrepancy:
- The answer you calculated as 6 sq. units might be due to rounding off the coordinates of the vertices.
- However, the accurate calculation of the area using the coordinates of the vertices yields an area of 5.25 sq. units.
Graphical Solution:
- Plot the two given lines on a graph.
- Find the points of intersection of the two lines, these points will represent the vertices of the triangle.
- Connect the vertices to form the triangle.
Finding the Vertices:
- Solve the two equations simultaneously to find the points of intersection.
- 5x - y - 7 = 0 --> y = 5x - 7
- x - y = 1 --> y = x - 1
- Equate the two expressions for y: 5x - 7 = x - 1
- Solve for x: 4x = 6 --> x = 1.5
- Substitute x back into one of the equations to find y: y = 1.5 - 1 = 0.5
- The vertices are A(0, -7), B(1.5, 0.5), and C(2, 1).
Finding the Area of the Triangle:
- Calculate the base and height of the triangle.
- Base = x-coordinate of point B = 1.5
- Height = y-coordinate of point A = -7
- Area = 0.5 * base * height = 0.5 * 1.5 * 7 = 5.25 sq. units
Explanation of Discrepancy:
- The answer you calculated as 6 sq. units might be due to rounding off the coordinates of the vertices.
- However, the accurate calculation of the area using the coordinates of the vertices yields an area of 5.25 sq. units.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?
Question Description
Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?.
Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?.
Solutions for Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? defined & explained in the simplest way possible. Besides giving the explanation of
Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?, a detailed solution for Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? has been provided alongside types of Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? theory, EduRev gives you an
ample number of questions to practice Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup