Class 10 Exam > Class 10 Questions > Solve graphically the pair of linear equation...
Start Learning for Free
Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis.
3x+ y - 3 = 0 and
2x - y 8 = 0
? please answer?
3x+ y - 3 = 0 and
2x - y 8 = 0
? please answer?
Most Upvoted Answer
Solve graphically the pair of linear equations and write the coordinat...
Community Answer
Solve graphically the pair of linear equations and write the coordinat...
Graphical Solution of the Pair of Linear Equations:
Coordinates of the Vertices of the Triangle:
Final Answer: The coordinates of the vertices of the triangle formed by the two lines with the x-axis are (1,0), (-4,0), and (-1.25, 7.75).
- First, we need to rewrite both equations in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
- 3x + y - 3 = 0 can be rearranged as y = -3x + 3, so its slope is -3 and its y-intercept is 3.
- 2x - y + 8 = 0 can be rearranged as y = 2x + 8, so its slope is 2 and its y-intercept is 8.
- Now, we can graph both lines on the same coordinate plane using their slopes and y-intercepts.
- Their intersection point is the solution to the system of equations.
- By graphing, we can estimate the coordinates of the vertices of the triangle formed by these two lines with the x-axis.
Coordinates of the Vertices of the Triangle:
- The x-axis is where y = 0, so we can find the x-coordinate of the vertices by setting y = 0 in each equation and solving for x.
- For the first equation, -3x + 3 = 0, so x = 1.
- For the second equation, 2x + 8 = 0, so x = -4.
- Therefore, the x-coordinates of the vertices are (1,0) and (-4,0).
- To find the y-coordinate of the third vertex, we need to find where the two lines intersect.
- Setting the two equations equal to each other, we get -3x + 3 = 2x + 8.
- Solving for x, we get x = -1.25.
- Plugging x = -1.25 into either equation, we get y = 7.75.
- Therefore, the third vertex has coordinates (-1.25, 0).
Final Answer: The coordinates of the vertices of the triangle formed by the two lines with the x-axis are (1,0), (-4,0), and (-1.25, 7.75).
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
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer?
Question Description
Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? 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 graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer?.
Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? 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 graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer?.
Solutions for Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? 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 graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? defined & explained in the simplest way possible. Besides giving the explanation of
Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer?, a detailed solution for Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? has been provided alongside types of Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? theory, EduRev gives you an
ample number of questions to practice Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup