1.

If 5x  - 3y = 13438 and 5x-1 + 3y+1 = 9686, then x + y equals

Answer»

Calculation:

5x – 3y = 13438      ----(i)

5(x – 1) + 3(y + 1) = 968

(5x/5) + 3 × 3y = 9686      ----(ii)

Multiplying equation 1 by 3 and adding, we get

⇒ 5x = 15625

⇒ 5x = 56

So, x = 6

Putting x in equation 1, we get

⇒ 3y = 2187

⇒ 3y = 37

So, y = 7

So, x + y = 7 + 6 = 13

The value of x + y is 13.



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