SOLUTION: Solve by substitution. 4x - 12y =5 -x + 3y = -1 Please help.

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Question 78646: Solve by substitution.
4x - 12y =5
-x + 3y = -1
Please help.

Answer by Septimus314(7)   (Show Source): You can put this solution on YOUR website!
Solving by substitution, you want to find what x or y equals from one of those equations, then plug what you find into the other equation, as follows:
We can use the bottom line to find x:
-x + 3y = -1
get -x on one side
-x = -3y - 1
multiply all by -1
x = 3y + 1
Use this in the other equation.
4(3y + 1) - 12y = 5
12y + 4 - 12y = 5
4 = 5
Hmm...I am not finding this equation to be solvable.
Using an alternate method, multiply the bottom equation by 4, so the x part cancels out, then add the 2 equations.
4x - 4x -12y + 12y = 5 - 4
0 = -1
The answer I am finding is "empty set"
I am sorry if I am either wrong or if my explanation is unclear. If it is unclear though just worry about understanding the first part I said.

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