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Maharashtra State BoardSSC (English Medium) 10th Standard

If 3x + 2y = 10 and 2x + 3y = 15, Then Find the Value of X + Y. - Algebra

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Question

If 3x + 2y = 10 and 2x + 3y = 15, then find the value of x + y.

Sum
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Solution

3x + 2y = 10 ..........(i)

2x + 3y = 15 ........(ii) 

Adding equation  (i) and (ii)

 3x + 2y = 10 
 2x + 3y = 15
_________________
 5x + 5y = 25

∴ 5 (x + y) = 25

∴ x + y = `25/5`

∴ x + y = 5

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2015-2016 (July)

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