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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: solve each of the following systems by substitution: 4x-12y=5 -x+3y=-1      Log On


   

Question 91569: solve each of the following systems by substitution:
4x-12y=5
-x+3y=-1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by substition:
4x-12y+=+5
-x%2B3y+=+-1 Rewrite this as:x+=+3y%2B1 and substitute into the first equation, then solve for y.
4%283y%2B1%29-+12y+=+5 Apply the distributive property.
12y%2B4-12y+=+5 Subtract 4 from both sides.
12y-12y+=+1 Combine like-terms.
0+=+1 Inconsistent!
This system has no solution, it is an inconsistent system.
The graphs of the lines represented by these two equations are parallel, they have no points in common.
graph%28600%2C400%2C-5%2C5%2C-5%2C5%2C%281%2F3%29x%2B5%2F12%2C%281%2F3%29x-1%2F3%29