The values of x and y have to be determined given that :

2x+3y=7...(1)

3x+2y=4...(2)

2*(2) - 3*(1)

=> 3*x*2 + 2*y*2 - 3*2*x - 3*y*3 = 4*2 - 3*7

=> 6x - 6x + 4y - 9y = 8 - 21

=> -5y = - 13

=> y = 13/5

substitute in (1)

=> 2x + 3*(13/5)=7

=> x = (7 - 39/5)/2

=> -4/10

=> -2/5

**The required value of x = -2/5 and y = 13/5**

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