SOLUTION: For the graph shown, select the statement that best represents the given system of equations. 4y + x = 2 8y + 2x = 4 A. coincident B. consistent and independent

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: For the graph shown, select the statement that best represents the given system of equations. 4y + x = 2 8y + 2x = 4 A. coincident B. consistent and independent       Log On


   

Question 1006031: For the graph shown, select the statement that best represents the given system of equations.
4y + x = 2
8y + 2x = 4

A.
coincident

B.
consistent and independent

C.
inconsistent

D.
not enough information
Answer by ikleyn(52785) About Me  (Show Source):
You can put this solution on YOUR website!
.
The second equation of the system is equivalent to the first one, because they differ by only the multiplier 2 (or 1%2F2)
applied to the left part and the right part.

Due to this reason, the equations are dependent and consisted.

They have infinitely many common solutions.


Note. You mistakenly use the term "coincident" in the section A.
      This term is not applicable to systems of equations.