SOLUTION: 8.3 # 28 Solve by substitution Mcgraw Hill 6th editon, Thank you for your time!! 4x-12y=5 -x+3y= -1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 8.3 # 28 Solve by substitution Mcgraw Hill 6th editon, Thank you for your time!! 4x-12y=5 -x+3y= -1      Log On


   

Question 56519: 8.3 # 28
Solve by substitution
Mcgraw Hill 6th editon,
Thank you for your time!!
4x-12y=5
-x+3y= -1
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
8.3 # 28
Solve by substitution
Mcgraw Hill 6th editon,
:
L1) 4x-12y=5
L2) -x+3y= -1
: Solve L2) for x and substitute it in for the x in L1) and solve for y:
-x+3y-3y=-1-3y
-x=-1-3y
-1(-x)=-1(-1-3y)
L1) x=highlight%281%2B3y%29
L2) 4%2Ahighlight%281%2B3y%29-12y=5
4%281%29%2B4%283y%29-12y=5
4%2B12y-12y=5
4=5
Your y was eliminated and 4 does not = 5, therefore there is no solution. Graphically, these line are parallel and never intersect. We call these equations inconsistent.
Happy Calculating!!!