SOLUTION: Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 6

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Question 1150103: Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
6x - 3y = 5
-12x + 6y = -15
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


When the equations are given in this form, elimination is (for me) by far the easiest way to go.


   6x - 3y =   5

 -12x + 6y = -15



Double the first equation to get an equation with "12x"; then adding the two equations will eliminate x:



  12x - 6y =  10

 -12x + 6y = -15

 ---------------

         0 = -5



That equation is FALSE; that means the system has 0 solutions.


 

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