Mathematics
Assertion(A): A pair of linear equations in two variables cannot have more than one solution.
Reason(R): If we solve a pair of linear equations in two variables, first by elimination method and then by cross multiplication method, then in some cases the two solutions so obtained may be different.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Linear Equations
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Answer
A pair of linear equations in two variables cannot have more than one solution. When the pair is consistent and independent, it has exactly one unique solution.
∴ Assertion (A) is true.
If we solve a pair of linear equations in two variables, first by elimination method and then by cross multiplication method, then in some cases the two solutions so obtained may be different.
This is false statement because both methods give same final answers.
∴ Reason(R) is false.
A is true, R is false.
Hence, option 1 is the correct option.
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