SOLUTION: what does the solution of a system of linear equations represent? how can you tell graphically whether a system is consistent, inconsistent, or dependent? x=2y-1 x=2y+3 has no

Algebra ->  Linear-equations -> SOLUTION: what does the solution of a system of linear equations represent? how can you tell graphically whether a system is consistent, inconsistent, or dependent? x=2y-1 x=2y+3 has no       Log On


   

Question 391252: what does the solution of a system of linear equations represent?
how can you tell graphically whether a system is consistent, inconsistent, or dependent?
x=2y-1
x=2y+3
has no solution. how can you tell?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what does the solution of a system of linear equations represent?
Ans: Values of the variables which make all the equation true.
------------------------------------------------------------------------
how can you tell graphically whether a system is
consistent: the lines intersect at one point
inconsistent: the lines are parallel
dependent:the lines have the same graph
---------------------------------------------
x=2y-1
x=2y+3
has no solution. how can you tell?
--
The slopes are the same and the y-intercepts are not
equal so the lines are parallel.
================
Cheers,
Stan H.