Find X and Y if 2X + 3Y = and 3X + 2Y = .

Given 2x + 3y = ….1

and 3x + 2y = ...2

Adding 1 and 3 equations we get,

5x + 5y =

Dividing both the sides by 5

x + y = …3

Now subtracting 1 from 2

X – y = ……4

Adding 3 and 4

2x =

X =

Subtracting 4 from 3

2y =

Y =

Hence x = = and y =