ok so set your two equations on top of each other 
6x + 4y = 32 
-6x + 4y = 8 
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notice that 6x and the -6x will be 0 so they get eliminated 
so what do we have left after getting ride of those 
4y = 32 
4y = 8 
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so now lets keep adding down 
8y = 40 
now solve for y but dividing so y = 5 
now that you know what your (y) value is y = 5 take 5 and plug it back into one of the original equations to get your x value. I chose the following 
6x + 4y = 32 
6x + 4(5) = 32 
6x + 20 = 32 
6x = 12 
x = 2 
so your point is ( 2 , 5 ) 
hope this helps