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2x-4y=-2

-5x-4y=-65  

 

help please 

Guest Jul 10, 2014

Best Answer 

 #1
avatar+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

NinjaDevo  Jul 10, 2014
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2+0 Answers

 #1
avatar+3450 
+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
 #2
avatar+91454 
0

thanks Ninja,

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

thumbs up from me!

Melody  Jul 12, 2014

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