Question 79690
3X + 5Y =6 
-4X + 2Y =5
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Let's say you want to get rid of the X-terms:
Multiply 1st equation by 4 so you get a 12X term:
Multiply 2nd equation by 3 so you get a -12x term:
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12x + 20y = 24
-12x+  6y = 15
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Now, add the two equations to get:
26y=39
y=39/26
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Substitute that value of y into one of the equations so you can solve for x:
3x +5(39/26) = 6
x+5(13/26) = 2
x+5/2 = 2
x= -1/2
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Cheers,
Stan H.