SOLUTION: Decide if the system has one solution, or an infinite number of solutions. 3x-9y=6 y=1/3x-2/3 I am unsure of how to work this to come up with the answer.

Algebra ->  Graphs -> SOLUTION: Decide if the system has one solution, or an infinite number of solutions. 3x-9y=6 y=1/3x-2/3 I am unsure of how to work this to come up with the answer.       Log On


   

Question 231494: Decide if the system has one solution, or an infinite number of solutions.
3x-9y=6
y=1/3x-2/3
I am unsure of how to work this to come up with the answer.
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
Well here you would want to solve the top equation for y. I will leave you to do the algebra but you should get y=1/3x-2/3 which is the same as the second equation. Since the two lines have the same equation there are infinite solutions because if you think about it the two lines are going to be touching at every point.