+0

# Tell if inconsistent or dependent

0
540
2

2x-4y=-2

-5x-4y=-65

Jul 10, 2014

#1
+3450
+10

If there are no solutions to these two lines, they are called inconsistent. (In other words, the lines wont cross anywhere on a graph) Here's an example:

y = x

y = x + 10

If the two equations are actually the same line, they are called dependent. (In other words, they cross infinitely.) Here's an example:

y = x + 10
2y = 2x + 20

And finally, if there are is one solution to these two lines, they are called independent. (In other words, the lines will cross at one point) Here's an example:

y = x + 10

y = 2x

So, now when we graph your two lines, we get:

The red line being 2x-4y=-2

The blue line being -5x-4y=-65

These lines cross in one point, so this is independent

This isn't one of the given options though...I'm pretty sure this is all correct here, but I'm sure somebody will correct me if this is wrong. :)

Picture and information source: http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson

Jul 10, 2014

#1
+3450
+10

If there are no solutions to these two lines, they are called inconsistent. (In other words, the lines wont cross anywhere on a graph) Here's an example:

y = x

y = x + 10

If the two equations are actually the same line, they are called dependent. (In other words, they cross infinitely.) Here's an example:

y = x + 10
2y = 2x + 20

And finally, if there are is one solution to these two lines, they are called independent. (In other words, the lines will cross at one point) Here's an example:

y = x + 10

y = 2x

So, now when we graph your two lines, we get:

The red line being 2x-4y=-2

The blue line being -5x-4y=-65

These lines cross in one point, so this is independent

This isn't one of the given options though...I'm pretty sure this is all correct here, but I'm sure somebody will correct me if this is wrong. :)

Picture and information source: http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson

#2
+95361
0

thanks Ninja,

I have not heard of these terms before - not in this context anyway.

thumbs up from me!

Jul 12, 2014