Verified Answer :

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3x-6y=2 (label equation 1)
5x+4y=1 (label equation 2)
-6y=-3x+2 (rearranged equation 1)
y=1/2x-1/3 (label equation 3)
 substitute equation 3 into equation 2 
5x+4(1/2x-1/3)=1
5x+2x-4/3=1
15x+6x-4=3 (multiplied everything by 3)

21x-4=3
     +4  +4
21x=7
x= 7/21
x=1/3
sub x=7/21 into equation 3
y= 1/2(1/3) -1/3
y= -1/6


Therefore x=1/3 and y= -1/6


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