Solve for x and y:2x - 3/y = 9, 3x + 7/y = 2

1.	Solve for x and y:2x - 3/y = 9, 3x + 7/y = 2
Answer» 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.

Answer»

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.

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