Question
Download Solution PDFThe solution of the system of equations 3x + 2y - 6z = 1, 2x - 3y + 3z = -1, x - 4y + z = -6 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The system of equations 3x + 2y - 6z = 1, 2x - 3y + 3z = -1, x - 4y + z = -6
Concept:
Use concept of elimination of variables.
Calculation:
The system of equations
3x + 2y - 6z = 1
2x - 3y + 3z = -1
x - 4y + z = -6
Isolate x for 3x + 2y - 6z = 1 :
Now substitute in other equations
After simplification
Now, isolate y for
Now substitute in other equation
⇒ z = 1
For
substitute z = 1
For
substitute z = 1, y = 2
The solution to the system of equations are:
x = 1, y = 2, z = 1
Hence the option (4) is correct.
Last updated on Jun 19, 2025
-> The AAI ATC Exam 2025 will be conducted on July 14, 2025 for Junior Executive..
-> AAI JE ATC recruitment 2025 application form has been released at the official website. The last date to apply for AAI ATC recruitment 2025 is May 24, 2025.
-> AAI JE ATC 2025 notification is released on April 4, 2025, along with the details of application dates, eligibility, and selection process.
-> A total number of 309 vacancies are announced for the AAI JE ATC 2025 recruitment.
-> This exam is going to be conducted for the post of Junior Executive (Air Traffic Control) in the Airports Authority of India (AAI).
-> The Selection of the candidates is based on the Computer-Based Test, Voice Test and Test for consumption of Psychoactive Substances.
-> The AAI JE ATC Salary 2025 will be in the pay scale of Rs 40,000-3%-1,40,000 (E-1).
-> Candidates can check the AAI JE ATC Previous Year Papers to check the difficulty level of the exam.
-> Applicants can also attend the AAI JE ATC Test Series which helps in the preparation.