#1**+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

NinjaDevo
Jul 10, 2014

#1**+10 **

Best Answer

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

NinjaDevo
Jul 10, 2014