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substitution method
x+4y=0    0r  
5x-2y=2
 , -22y = 2,  y = -1/11   and x = 4/11
 , -22y = 2,  y = -1/11   and x = 4/11
Checking Using the elimination Method
5x-2y=2     |||Multiply 1st Eq thru by 2 and add to the 2nd EQ to eliminate y
x+4y=0
 11x = 4
   x = 4/11  and y = -1/11