Solve for x and y:x/3 + y/4 =115x/6 - y/3 + 7 = 0

1.	Solve for x and y:x/3 + y/4 =115x/6 - y/3 + 7 = 0
Answer» The given equations are: x/33 + y/ 4 = 11 ⇒4x + 3y = 132 …….(i) and 5x/ 6 - y/ 3 + 7 = 0 ⇒5x – 2y = -42 ……..(ii) On multiplying (i) by 2 and (ii) by 3, we get: 8x + 6y = 264 …...(iii) 15x – 6y = -126 ….(iv) On adding (iii) and (iv), we get: 23x = 138 ⇒x = 6 On substituting x = 6 in (i), we get: 24 + 3y = 132 ⇒3y = (132 – 24) = 108 ⇒y = 36 Hence, the solution is x = 6 and y = 36.

Answer»

The given equations are:

x/33 + y/ 4 = 11

⇒4x + 3y = 132 …….(i)

and 5x/ 6 - y/ 3 + 7 = 0

⇒5x – 2y = -42 ……..(ii)

On multiplying (i) by 2 and (ii) by 3, we get:

8x + 6y = 264 …...(iii)

15x – 6y = -126 ….(iv)

On adding (iii) and (iv), we get:

23x = 138

⇒x = 6

On substituting x = 6 in (i), we get:

24 + 3y = 132

⇒3y = (132 – 24) = 108

⇒y = 36

Hence, the solution is x = 6 and y = 36.

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