An inconsistent system of equations is a system with __________.

the same line

parallel lines

intersecting lines and lines that have the same equation

intersecting lines and lines that have the same slope

Question

An inconsistent system of equations is a system with __________.

 the same line

 parallel lines

 intersecting lines and lines that have the same equation

 intersecting lines and lines that have the same slope

vishweshshrimali5 · Answer

An inconsistent system of equations has *no solutions*

That means no point of intersection

So what do you think should be the answer ?

anonymous · Answer

The same line?

anonymous · Answer

Oh it's parallel right?

vishweshshrimali5 · Answer

Yes

vishweshshrimali5 · Answer

No it is not the same line.

Actually there are 2 possible answers if you think.
Every line is parallel to itself

vishweshshrimali5 · Answer

But, that is not perfectly correct. The proper word for that is *coincident* line.

vishweshshrimali5 · Answer

For example, lines represented by x+y = 2 and 2x + 2y = 4 are coincident lines.

But this set of equations would give you infintiely many solutions. Thus, same line is wrong.

anonymous · Answer

parallel lines are the correct answer
Thanks!

vishweshshrimali5 · Answer

|dw:1405047701719:dw|

vishweshshrimali5 · Answer

No problem :)