How many solutions are there to the following system of equations?

3x – 9y = 0
–x + 3y = –3

0
1
2
infinitely many

i already know its not infinitely many nor is it 2 i need help figuring out between 1 & 0

Question

How many solutions are there to the following system of equations?

3x – 9y = 0
–x + 3y = –3


       0
       1
       2
       infinitely many

i already know its not infinitely many nor is it 2 i need help figuring out between 1 & 0

mathslover · Answer

Well may I know how did you come up to the conclusion that the answer can not be infinitely many or 2 ?

mathslover · Answer

The main concept is that : 

Let the system of equations be : 

$a_1 x + b_1 y = c_1 $ 
$a_2 x + b_2 y = c_2 $ 

Then if : 
$\cfrac{a_1}{a_2} = \cfrac{b_1}{b_2} = \cfrac{c_1}{c_2} $ The no. of solutions are infinitely many.

If $\cfrac{a_1}{a_2} \ne \cfrac{b_1}{b_2} $ , The no. of solutions is unique that is only one.

If $\cfrac{a_1}{a_2} = \cfrac{b_1}{b_2} \ne \cfrac{c_1}{c_2} $ , The no. of solutions is 0 that is there are no solutions.

mathslover · Answer

You can learn more here : http://www.mathsisfun.com/algebra/systems-linear-equations.html

anonymous · Answer

i am really confused, but i went over some of it with a tutor on tutors.com but the session cut offf :/