Question 1005309: Without graphing, answer the questions for the following linear system
x+4y=0
20y=-5x
a) Is the system inconsistent, or are the equations dependent, or neither?
b) Is the graph a pair of intersecting lines, a pair of parallel lines or one line.
c) Does the system have one solution, no solution, or an infinite number of solutions?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617)   (Show Source):
Answer by MathLover1(20849)  (Show Source):
You can put this solution on YOUR website! 
a.
to determine is the system inconsistent, or are the equations dependent, or neither, write both of them in slope-intercept form 
If  are  , system is  .
If are  and  are , system is  .
If are and are  the , system is  .
=> => ; slope  ,y-intercept 
=> =>; slope ,y-intercept
since are and are , system is .
b) Is the graph a pair of intersecting lines, a pair of parallel lines or one line.
as you can see, the two lines are identical (if graphed,one will lie perfectly on top of the other) and intersect at all points of both lines
c) Does the system have one solution, no solution, or an infinite number of solutions?
so, the system have an  number of solutions
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