Q1 of 23 Page 1

Solve of the following sub question:

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

Given: 3x + 2y = 10 …(i)


2x + 3y = 15 …(ii)


Add equation (i) and (ii)


⇒ 3x + 2y + 2x + 3y = 10 + 15


Rearranging terms


⇒ 3x + 2x + 2y + 3y = 25


⇒ 5x + 5y = 25


⇒ 5 × (x + y) = 25


⇒ x + y =


∴ x + y = 5


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