SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -2x + 6y = -12 x + 3y = -3

Algebra ->  Equations -> SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -2x + 6y = -12 x + 3y = -3      Log On


   

Question 479795: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-2x + 6y = -12
x + 3y = -3
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

-2x + 6y = -12 

  x + 3y = -3



-2x + 6y = -12 

 2x + 6y = -6

    12y = -18

     y = -18/12 

     y = -3/2  and x = 3/2   (x = -3*-3/2 -3 = 3/2

|Yes! Ordered pair Pt(1.5,-1.5)is the solution for this INDEPENDENT system:See below

Lines intersect at Pt(-2,-4)





A consistent system has at least one solution.

An inconsistent system has no solutions.

An independent system has exactly one solution. ***

A dependent system has infinitely many solutions.