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Consider the system of equations given below:
x + y = 2
2x + 2y = 5
This system has
x + y = 2
2x + 2y = 5
This system has
- a)One solution
- b)No solution
- c)Infinite solution
- d)Four solution
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the system of equations given below:x + y = 22x +2y = 5This s...
(b) This can be written as AX = B Where A
Angemented matrix
rank(A) ≠ rank(
). The system is inconsistant .So system has no solution.
). The system is inconsistant .So system has no solution.Most Upvoted Answer
Consider the system of equations given below:x + y = 22x +2y = 5This s...
Solution:
The given system of equations is:
x y = 2 ... (1)
2x 2y = 5 ... (2)
Method:
- We can solve the given system of equations using the elimination method.
- In this method, we try to eliminate one variable from the equations by adding or subtracting the equations.
- We do this in such a way that the coefficients of one variable in both the equations become equal and opposite.
- Once we have eliminated one variable, we can easily solve for the other variable.
Eliminating y:
- To eliminate y, we can multiply equation (1) by 2 and subtract it from equation (2).
- This gives us: 2x - 2x = 5 - 4
- Simplifying the above equation, we get: 0 = 1
Conclusion:
- The equation 0 = 1 is a contradiction.
- This means that the given system of equations has no solution.
- Therefore, the correct answer is option (B) no solution.
The given system of equations is:
x y = 2 ... (1)
2x 2y = 5 ... (2)
Method:
- We can solve the given system of equations using the elimination method.
- In this method, we try to eliminate one variable from the equations by adding or subtracting the equations.
- We do this in such a way that the coefficients of one variable in both the equations become equal and opposite.
- Once we have eliminated one variable, we can easily solve for the other variable.
Eliminating y:
- To eliminate y, we can multiply equation (1) by 2 and subtract it from equation (2).
- This gives us: 2x - 2x = 5 - 4
- Simplifying the above equation, we get: 0 = 1
Conclusion:
- The equation 0 = 1 is a contradiction.
- This means that the given system of equations has no solution.
- Therefore, the correct answer is option (B) no solution.
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Consider the system of equations given below:x + y = 22x +2y = 5This system hasa)One solutionb)No solutionc)Infinite solutiond)Four solutionCorrect answer is option 'B'. Can you explain this answer?
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Consider the system of equations given below:x + y = 22x +2y = 5This system hasa)One solutionb)No solutionc)Infinite solutiond)Four solutionCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the system of equations given below:x + y = 22x +2y = 5This system hasa)One solutionb)No solutionc)Infinite solutiond)Four solutionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the system of equations given below:x + y = 22x +2y = 5This system hasa)One solutionb)No solutionc)Infinite solutiond)Four solutionCorrect answer is option 'B'. Can you explain this answer?.
Consider the system of equations given below:x + y = 22x +2y = 5This system hasa)One solutionb)No solutionc)Infinite solutiond)Four solutionCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the system of equations given below:x + y = 22x +2y = 5This system hasa)One solutionb)No solutionc)Infinite solutiond)Four solutionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the system of equations given below:x + y = 22x +2y = 5This system hasa)One solutionb)No solutionc)Infinite solutiond)Four solutionCorrect answer is option 'B'. Can you explain this answer?.
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