UPSC Exam > UPSC Questions > X/3+y/4=11 5x/6-y/3=-7 by subsitution method?
Start Learning for Free
X/3+y/4=11 5x/6-y/3=-7 by subsitution method?
Most Upvoted Answer
X/3+y/4=11 5x/6-y/3=-7 by subsitution method?
Using Substitution Method to Solve the System of Equations:
- Equation 1: X/3 + y/4 = 11
- Equation 2: 5x/6 - y/3 = -7
Step 1: Solve Equation 1 for X
- X/3 = 11 - y/4
- X = 3(11 - y/4)
- X = 33 - 3y/4
Step 2: Substitute X into Equation 2
- 5(33 - 3y/4)/6 - y/3 = -7
- 165 - 15y/4 - y/3 = -7
Step 3: Simplify and Solve for y
- 165 - 15y/4 - 4y/12 = -7
- 165 - 45y/12 - 4y/12 = -7
- 165 - 49y/12 = -7
- 165 = -7 + 49y/12
- 165 + 7 = 49y/12
- 172 = 49y/12
- y = 172 * 12 / 49
- y = 42
Step 4: Substitute y back into Equation 1 to find X
- X = 33 - 3(42)/4
- X = 33 - 31.5
- X = 1.5
Therefore, the solution to the system of equations is:
- X = 1.5
- y = 42
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
X/3+y/4=11 5x/6-y/3=-7 by subsitution method?
Question Description
X/3+y/4=11 5x/6-y/3=-7 by subsitution method? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X/3+y/4=11 5x/6-y/3=-7 by subsitution method? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X/3+y/4=11 5x/6-y/3=-7 by subsitution method?.
X/3+y/4=11 5x/6-y/3=-7 by subsitution method? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X/3+y/4=11 5x/6-y/3=-7 by subsitution method? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X/3+y/4=11 5x/6-y/3=-7 by subsitution method?.
Solutions for X/3+y/4=11 5x/6-y/3=-7 by subsitution method? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of X/3+y/4=11 5x/6-y/3=-7 by subsitution method? defined & explained in the simplest way possible. Besides giving the explanation of
X/3+y/4=11 5x/6-y/3=-7 by subsitution method?, a detailed solution for X/3+y/4=11 5x/6-y/3=-7 by subsitution method? has been provided alongside types of X/3+y/4=11 5x/6-y/3=-7 by subsitution method? theory, EduRev gives you an
ample number of questions to practice X/3+y/4=11 5x/6-y/3=-7 by subsitution method? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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