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asked ago in Mathematics by (50 points)
recategorized ago by

Solve for x and y:

(2x - 3y)/ 4 = 3,

5x = 2y + 7

1 Answer

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answered ago by (241k points)

The given equations are: 

2x - 3y/ 4 = 3 …..(i) 

5x = 2y + 7 ……..(ii) 

On multiplying (i) by 2 and (ii) by 3/4 , we get: 

4x - 3/2 y = 6 …...(iii) 

15/4 x = 3/2 y + 21/ 4 ….(iv) 

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

 - 1/4 x = - 3/ 4 

⇒x = 3 

On substituting x = 3 in (i), we get: 

2 × 3 - 3y/4 = 3 

⇒ 3y/4 = (6 – 3) = 3 

⇒y = (3 ×4 )/3 = 4 

Hence, the solution is x = 3 and y = 4.

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