SOLUTION: without graphing determine the number of solutions of the following system of equations: 4x-10y=-5 and 2x-5y=0

Question 557217: without graphing determine the number of solutions of the following system of equations: 4x-10y=-5 and 2x-5y=0
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
----------------
They are straight lines, so they must either:
(1) intersect at 1 point ( different slopes )
(2) Not intersect ( same slope )
(3) They are actually the same line
---------------------------
If I divide both sides of (1) by ,
I get
(1)
(1)
(1)
and
(2)
(2)
(2)
----------------
The lines have the same slope, and they are not
the same line, so they must be parallel.
Parallel lines have no solution.
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