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Consider the following set of equations
This set
- a)has unique solution
- b)has no solution
- c)has finite number of solutions
- d)has infinite number of solutions
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Consider the following set of equationsThis seta)has unique solutionb)...
There are no solutions.
If we multiply 1st equation by 4, we get
4x + 8y = 20
But 2nd equation says
4x + 8y = 12
Clearly, there can not be any pair of (x,y), which satisfies both equations.
If we multiply 1st equation by 4, we get
4x + 8y = 20
But 2nd equation says
4x + 8y = 12
Clearly, there can not be any pair of (x,y), which satisfies both equations.
Most Upvoted Answer
Consider the following set of equationsThis seta)has unique solutionb)...
Explanation:
Inconsistent System:
When we analyze the given set of equations, we can see that the first two equations are linear equations in x and y. However, the third equation introduces a new variable z. This makes the system of equations inconsistent as there are not enough equations to determine the values of x, y, and z simultaneously.
Explanation of no solution:
Since the system of equations is inconsistent, it means that there are no values of x, y, and z that satisfy all three equations simultaneously. In other words, there is no solution that can make all three equations true at the same time. This results in the system having no solution.
Conclusion:
Hence, the correct answer is option 'b) has no solution'. The given set of equations does not have a solution due to the inconsistency introduced by the third equation with an additional variable z.
Inconsistent System:
When we analyze the given set of equations, we can see that the first two equations are linear equations in x and y. However, the third equation introduces a new variable z. This makes the system of equations inconsistent as there are not enough equations to determine the values of x, y, and z simultaneously.
Explanation of no solution:
Since the system of equations is inconsistent, it means that there are no values of x, y, and z that satisfy all three equations simultaneously. In other words, there is no solution that can make all three equations true at the same time. This results in the system having no solution.
Conclusion:
Hence, the correct answer is option 'b) has no solution'. The given set of equations does not have a solution due to the inconsistency introduced by the third equation with an additional variable z.
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Consider the following set of equationsThis seta)has unique solutionb)has no solutionc)has finite number of solutionsd)has infinite number of solutionsCorrect answer is option 'B'. Can you explain this answer?
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