Simultaneous Equations


   
 
Method of Elimination (by Addition)
 
Solve: 3x - 4y = 20 …(i)
 
5x + 6y = 8 …(ii)
 
 
Multiply (i) by 3 and (ii) by 2:
 
 
Adding the two, 19x = 76
 
 
Substituting x = 4 in (ii), we get
 
5(4) + 6y = 8
 
6y = 8 - 20
 
6y = -12 y = -2
 
The solution is x = 4 and y = -2.
 
 
The answer may be written as {(4, -2)}
 
  
     
   
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