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Solution


Q.

Consider the system of a pair of linear equations:

    2/x + 5y = 15
    3/x + 6y = 7

Assertion (A): The given pair of equations can be reduced to a pair of linear equations in two variables.
Reason (R): In the given equations, y can be substituted by 1/p.
1 Both A and R are true, and R is the correct explanation of A.  
2 Both A and R are true, but R is not the correct explanation of A.  
3 A is true, but R is false.  
4 A is false, but R is true.  

Ans.

(2)

Rationale: Yes, the given pair of equations can be reduced to a pair of linear equations in two variables (m and y) by putting 1/x = m.
Certainly, we can substitute y by 1/p but that would not help the given equations in reducing to a pair of linear equations.