systems of linerar equations

Independent Consistant:
a equation is consistant if there is at least one solution.
a equation is independent when 2 lines cross at one point

for example:
y = x + 10
y = 2x

Dependent Consistant:
when 2 lines have the same slope and y-intercept.
one overlaps the other

for example :
y = x + 10
2y = 2x + 20



 
 
Incosistant :
this means the 2 lines do not cross at any point.
they are most likely parallel.
they do have the same slope.
 
example:
y = x
y = x + 10