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2x+3y=14...................(2)

now (1)*2-(2)*3 we get

6x+4y=82

-6x-9y=-42

-5y=40

y=-8

putting y=-8 in(1) we get

3x+2*(-8)=41

x=19

2(3x+2y)=(41)2

multiply eq.2 by 3,

3(2x+3y)=(14)3

eq.1 6x+4y=82

eq.2(-)6x+9y=42

_______________

-5y=40

y=-8

and x=19.