If and , find the values of x and y.

We have the given pair of equations are:

…(i)


…(ii)


Now, multiplying (i) and (ii) by xy we get:


3x + 2y = 9 …(iii)


9x + 4y = 21 …(iv)


Now, multiplying (iii) by 2 and subtracting it from (iv) we get:


9x – 6x = 21 – 18


3x = 3



Now, putting the value of x in (iii) we get:


3 × 1 + 2y = 9


3 + 2y = 9


2y = 6



y = 3


Hence, the value of x = 1 and y = 3


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