SOLUTION: Solve each of the following systems by substitution. 4x � 12y = 5 -x + 3y = -1

Question 37273: Solve each of the following systems by substitution.
4x � 12y = 5
-x + 3y = -1
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
We start with
4x � 12y = 5
-x + 3y = -1
Let us solve the second equation for x and substitute its value into the first equation. Here goes:
3y = x - 1 and
x = 3y + 1
Now substitute
4(3y + 1) - 12y = 5
12y + 4 - 12y = 5
4 = 5
Since this is an impossibility, we know there is no solution. That also means our two lines are parallel and the system is said to be inconsistent.
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