Solve for x and y: 9x - 2y = 108, 3x + 7y = 105

1.	Solve for x and y: 9x - 2y = 108, 3x + 7y = 105
Answer» The given system of equation can be written as: 9x - 2y = 108 ……(i) 3x + 7y = 105 ……(ii) On multiplying (i) by 7 and (ii) by 2, we get: 63x + 6x = 108 × 7 + 105 × 2 ⇒69x = 966 ⇒x = 966/69 = 14 Now, substituting x = 14 in (i), we get: 9 × 14 – 2y = 108 ⇒2y = 126 – 108 ⇒y = 18/2 = 9 Hence, x = 14 and y = 9.

Answer»

The given system of equation can be written as:

9x - 2y = 108 ……(i)

3x + 7y = 105 ……(ii)

On multiplying (i) by 7 and (ii) by 2, we get:

63x + 6x = 108 × 7 + 105 × 2

⇒69x = 966

⇒x = 966/69 = 14

Now, substituting x = 14 in (i), we get:

9 × 14 – 2y = 108

⇒2y = 126 – 108

⇒y = 18/2 = 9

Hence, x = 14 and y = 9.

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