compare and contrast a system that is dependant and a system that is independent

Question

jim_thompson5910 · Answer

a dependent system is one where one equation depends on the other

ex:

x+y = 10
2x+2y = 20

notice how the second equation is just the first one, but everything has been multiplied by 2...so the second equation "depends" on the first one so to speak


In any dependent system, there are infinitely many solutions since there are infinitely many points of intersection between the two lines

jim_thompson5910 · Answer

an independent system on the other hand is one where both equations aren't dependent on one another

so they don't overlap like before and there's only one point of intersection...so there's exactly one solution