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For the following set of simultaneous equations:
1.5x - 0.5y = 2
4x + 2y + 3z = 9
7x + y + 5z = 10
  • a)
    the solution is unique
  • b)
    infinitely many solutions exist
  • c)
    the equations are incompatible
  • d)
    finite number of multiple solutions exist.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
For the following set of simultaneous equations:1.5x - 0.5y = 24x + 2...
We have
Comparing to Ax = B, we get
Augmented matrix is
Applying R2 → R2 + 4 R1
R3 → R3 + 2 R1
Here
Thus so the system has unique solution
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For the following set of simultaneous equations:1.5x - 0.5y = 24x + 2y + 3z = 97x + y + 5z = 10a)the solution is uniqueb)infinitely many solutions existc)the equations are incompatibled)finite number of multiple solutions exist.Correct answer is option 'A'. Can you explain this answer?
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