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

3x – 9y = 0
–x + 3y = –3

0

2

1

infinitely many

Question

How many solutions are there to the following system of equations?

 

3x – 9y = 0
–x + 3y = –3

		
0
		
2
		
1
		
infinitely many

freemap · Answer

I got an x and y so I think 1 C

agent0smith · Answer

^ I don't know what you mean by that. But try using substitution like the last question to solve it.

freemap · Answer

what I mean is I got 3/2 for x and 1/2 for y

agent0smith · Answer

Show your work.

You can use elimination too, if you know how to do that.

freemap · Answer

okay

jim_thompson5910 · Answer

another method: graph the two equations and see where they intersect use a graphing calculator or desmos if you don't have a TI83, 84, etc https://www.desmos.com/calculator

freemap · Answer

1.5, 0.5

agent0smith · Answer

You're gonna have to show some work since I have no idea how you're getting these results

agent0smith · Answer

You didn't graph them correctly.

agent0smith · Answer

Just use elimination. Multiply the second equation by 3 (multiply each term by 3), then add the equations together

freemap · Answer

Thanks for all your help, everyone. Have great night

jim_thompson5910 · Answer

@freemap the lines shouldn't cross or intersect

jim_thompson5910 · Answer

agent0smith · Answer

^exactly. Hopefully you know what that means, @freemap. If lines are parallel, with no intersection, how many solutions are there?

freemap · Answer

Thanks @jim_thompson5910 I got the answer I meant to tell you thank you

freemap · Answer

0 I know its right