SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -3x + 6y = -3 -6x + 4y = -10

Algebra ->  Linear-equations -> SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -3x + 6y = -3 -6x + 4y = -10       Log On


   

Question 592243: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-3x + 6y = -3
-6x + 4y = -10
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
-3x + 6y =  -3 
-6x + 4y = -10

To eliminate x multiply the first equation by -2

 6x - 12y =   6 
-6x +  4y = -10
---------------
      -8y = -4
        y = %28-4%29%2F%28-8%29
        y = 1%2F2

Start over:

-3x + 6y =  -3 
-6x + 4y = -10


To eliminate y multiply the first equation by 2
and the second equation by -3

-6x + 12y = -6 
18x - 12y = 30
--------------
12x       = 24
        x = 24%2F12
        x = 2

Solution (x,y) = (2,1%2F2)