Class 10 Exam > Class 10 Questions > 2x + 3y = 9x -y = 2 Solve the problem by elim...
Start Learning for Free
2x + 3y = 9
x -y = 2
Solve the problem by elimination method?
x -y = 2
Solve the problem by elimination method?
Most Upvoted Answer
2x + 3y = 9x -y = 2 Solve the problem by elimination method?
Elimination Method to Solve the System of Equations
To solve the system of equations 2x + 3y = 9 and x - y = 2 using the elimination method, follow these steps:
Step 1: Multiply the Second Equation by 3
- Multiply the second equation by 3 to make the coefficients of y the same in both equations:
3(x - y) = 3(2)
3x - 3y = 6
Step 2: Add the Equations Together
- Add the modified second equation to the first equation:
2x + 3y + 3x - 3y = 9 + 6
5x = 15
x = 3
Step 3: Substitute x back into one of the Equations
- Substitute the value of x back into the second original equation to solve for y:
3 - y = 2
-y = -1
y = 1
Step 4: Check the Solution
- Substitute the values of x and y back into both original equations to ensure they satisfy both equations:
2(3) + 3(1) = 9
6 + 3 = 9
9 = 9
3 - 1 = 2
2 = 2
Therefore, the solution to the system of equations is x = 3 and y = 1. The elimination method helped to find the values of x and y that satisfy both equations simultaneously.
To solve the system of equations 2x + 3y = 9 and x - y = 2 using the elimination method, follow these steps:
Step 1: Multiply the Second Equation by 3
- Multiply the second equation by 3 to make the coefficients of y the same in both equations:
3(x - y) = 3(2)
3x - 3y = 6
Step 2: Add the Equations Together
- Add the modified second equation to the first equation:
2x + 3y + 3x - 3y = 9 + 6
5x = 15
x = 3
Step 3: Substitute x back into one of the Equations
- Substitute the value of x back into the second original equation to solve for y:
3 - y = 2
-y = -1
y = 1
Step 4: Check the Solution
- Substitute the values of x and y back into both original equations to ensure they satisfy both equations:
2(3) + 3(1) = 9
6 + 3 = 9
9 = 9
3 - 1 = 2
2 = 2
Therefore, the solution to the system of equations is x = 3 and y = 1. The elimination method helped to find the values of x and y that satisfy both equations simultaneously.
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
2x + 3y = 9x -y = 2 Solve the problem by elimination method?
Question Description
2x + 3y = 9x -y = 2 Solve the problem by elimination method? 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 2x + 3y = 9x -y = 2 Solve the problem by elimination method? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2x + 3y = 9x -y = 2 Solve the problem by elimination method?.
2x + 3y = 9x -y = 2 Solve the problem by elimination method? 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 2x + 3y = 9x -y = 2 Solve the problem by elimination method? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2x + 3y = 9x -y = 2 Solve the problem by elimination method?.
Solutions for 2x + 3y = 9x -y = 2 Solve the problem by elimination method? 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 2x + 3y = 9x -y = 2 Solve the problem by elimination method? defined & explained in the simplest way possible. Besides giving the explanation of
2x + 3y = 9x -y = 2 Solve the problem by elimination method?, a detailed solution for 2x + 3y = 9x -y = 2 Solve the problem by elimination method? has been provided alongside types of 2x + 3y = 9x -y = 2 Solve the problem by elimination method? theory, EduRev gives you an
ample number of questions to practice 2x + 3y = 9x -y = 2 Solve the problem by elimination method? 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