SOLUTION: Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or inconsistent. Please explain Thanks

Algebra ->  Graphs -> SOLUTION: Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or inconsistent. Please explain Thanks      Log On


   

Question 43166: Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or inconsistent.
Please explain
Thanks
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
6x+-+2y+=+10
-2y+=+-6x+%2B+10
y+=+3x+-+5
and...
9x+-+3y+=+8
-3y+=+-9x+%2B+8
y+=+3x+-+8%2F3
These are parallel lines with different y-intercepts. They are independent and inconsistent.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x+-+5%2C+3x+-+8%2F3+%29+