How many solutions does the system of equations have? x-3y=15 and y=1/3x-5
A.one
B.two
C.non
D. Infinitely many

Please help me figure this out correctly.

Question

How many solutions does the system of equations have? x-3y=15 and y=1/3x-5 
A.one
B.two
C.non
D. Infinitely many

Please help me figure this out correctly.

campbell_st · Answer

write the 1st line in slope intercept form

what do you notice..?

anonymous · Answer

I'm not sure. I think I am doing it incorrectly, I did something like 3y=15-x

campbell_st · Answer

well that's a start but its 

-3y = 15 - x

now divide every term by -3

what do you get

anonymous · Answer

I got y=1/3x-5

campbell_st · Answer

ok... and what do you notice now about the 2 lines...?

anonymous · Answer

I notice one line.... They are on top of eachother.

anonymous · Answer

So that would be two, correct??

campbell_st · Answer

thats correct... so every point on the 1st line is on the 2nd line... so there are an infinite number of solutions.

anonymous · Answer

Thanks campbell_st for taking time out of your day to help me. I am terrible at math as you can now tell.

campbell_st · Answer

well its just practice... good luck

anonymous · Answer

Definitely practice. I need to keep looking at these types of questions. I have tons more so, it should work out fine.