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