SOLUTION: Solve the system of equations by the method of your choice: 6x + 3y = 9 and y = – 2x + 2. Are these equations independent, inconsistent or dependent.

Algebra ->  Systems-of-equations -> SOLUTION: Solve the system of equations by the method of your choice: 6x + 3y = 9 and y = – 2x + 2. Are these equations independent, inconsistent or dependent.       Log On


   

Question 354043: Solve the system of equations by the method of your choice:
6x + 3y = 9 and y = – 2x + 2.
Are these equations independent, inconsistent or dependent.
Found 2 solutions by solver91311, mananth:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Put the 2nd equation into Standard () form.

If you have a system of equations



And where



if

, , and

then the system is consistent and dependent.

But if

, , and

then the system is inconsistent.

Otherwise the system is consistent and independent.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
6x + 3y = 9
divide by3
y+2x=3
y = – 2x + 2
y+2x=2
...
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%28-2x%2B3%29%2C%28-2x%2B2%29%29
they are parallel lines
No solution
inconsistent
...
m.ananth@hotmail.ca