SOLUTION: Solve by substitution or elimination method: 4x-5y=14 -12x+15y=-42

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Question 179273: Solve by substitution or elimination method:
4x-5y=14
-12x+15y=-42
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
1.4x-5y=14
2.-12x%2B15y=-42
Multiply eq. 1 by 3 and add to eq. 2,
3%284x-5y%29%2B%28-12x%2B15y%29=3%2814%29-42
12x-15y-12x%2B15y=42-42
0=0
Eq. 1 and eq. 2 are both the same line.
If you multiply eq. 1 by (-3) you get eq. 2.
There are an infinite number of solutions, basically every point on the line solves both equations.