SOLUTION: Solve the following system by substitution 8x-4y=16 y=2x-4 Show your solution below: What is the solution for this system? What type of system is this? please help

Question 125168: Solve the following system by substitution
8x-4y=16
y=2x-4
Show your solution below:
What is the solution for this system?
What type of system is this?
please help
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the following system by substitution
8x-4y=16
y=2x-4
----------
Simplify the 1st equation:
2x-y = 4
Substitute to get:
2x-(2x-4)=4
2x-2x+4=4
4=4
=========
This means the two original equations are really the same;
one is a multiple of the other.
The system is described as "dependent".
The solution set is the set of all points on the line y = 2x-4
---------------------------
Cheers,
Stan H.
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