Question
Download Solution PDFThe graphs of the equations
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Calculation:
⇒
Now,
Multiplying the number by 3 in equation (1), we get
⇒ 12x + y = 8 ....(3)
Again, multiplying the number by 24 in equation (2), we get
⇒ 12x + 18y = -60 ...(4)
Now,
From equation (3) and (4), we get
⇒ (18y – y) = (-60 – 8)
⇒ 17y = -68
⇒ y = -4
Now, Putting the value of y in equation (3), we get
⇒ 12x – 4 = 8
⇒ 12x = 12
⇒ x = 1
So, P(1, -4)
Now,
According to given option
x + 2y – 5 = 0
⇒ (1 – 8 – 5) = 0
⇒ -12 is not equal to 0
So, It is not satisfying the point P
Again,
3x – y – 7 = 0
⇒ (3 + 4 – 7) = 0
⇒ (7 – 7) = 0
⇒ 0 = 0
It is satisfying the point P
Again,
x – 3y – 12 = 0
⇒ (1 + 12 – 12) = 0
⇒ (13 – 12) = 0
⇒ 1 is not equal to 0
So, It is not satisfying the point P
Again,
4x – y + 7 = 0
⇒ (4 + 4 + 7) = 0
⇒ 15 is not equal to 0
So, It is not satisfying the point P
∴ The point P also lies on the graph of the equation is 3x – y – 7 = 0
Last updated on Jul 12, 2025
-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> The RRB Railway Teacher Application Status 2025 has been released on its official website.
-> The OTET Admit Card 2025 has been released on its official website.