Question

Solve for x and y:

`2x - 3/y = 9, 3x + 7/y = 2`

Answer 1

The given equations are:
2x - `3/y` = 9 ……..(i)
3x + `7/y` = 2 ……..(ii)
Putting `1/y` = v, we get:
2x - 3v = 6 …….(iii)
3x + 7v = 2 ……(iv)
On multiplying (iii) by 7 and (iv) by 3, we get:
14x - 21v = 63 ……..(v)
9x + 21v = 6 ……..(vi)
On adding (v) from (vi), we get:
23x = 69 ⇒ x = 3
On substituting x = 3 in (i), we get:
2 × 3 - `3/y` = 9
⇒6 - `3/y = 9 ⇒ 3/y`= -3 ⇒ y = -1
Hence, the required solution is x = 3 and y = -1.