SOLUTION: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution". 5x - 2y = 6 x = 5 - y

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Question 561575: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution".
5x - 2y = 6
x = 5 - y
Answer by Edwin McCravy(20061)   (Show Source): You can put this solution on YOUR website!
Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution".
5x - 2y = 6
      x = 5 - y

The second equation is already solved for x, so
we substitute (5 - y) for x in the first equation:

      5x - 2y = 6
5(5 - y) - 2y = 6
 25 - 5y - 2y = 6
      25 - 7y = 6
          -7y = -19
            y = 
            y = 

Substitute  for y in

      x = 5 - y
      x = 5 - 
      x = 5· - 
      x =  - 
      x = 

Solution:   (x,y) = (,)

Edwin
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