Question 490732
2x+5y=8
6x+4y=-20 
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since the x-terms has a common factor, we can apply the "addition method" to eliminate it.  Multiply both sides of the top equation by -3, combine the two equations and solve for y:
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-6x-15y=-24
 6x+ 4y=-20
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   -11y = -44
      y = 4
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substitute the value of y into the top equation and solve for x:
2x+5y=8
2x+5(4)=8
2x+20=8
2x = -12
x = -6
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solution: (x,y) = (-6, 4)