Will medal! Please help!!
How many solutions does this system of equations have?

y = –3x + 7
y = –3x – 6

Question

Will medal! Please help!!
How many solutions does this system of equations have?

y = –3x + 7
y = –3x – 6

campbell_st · Answer

well do you notice anything about the slopes of the lines..?

anonymous · Answer

How do I know the slopes of the lines? @campbell_st

campbell_st · Answer

ok... the basic slope intercept  form of a line 
is

$$y = mx + b$$

m is the slope of the line and b is where it cuts the y -axis

so any comment about the slope

anonymous · Answer

Nope because I'm completely lost. I truthfully suck at math so... @campbell_st

campbell_st · Answer

ok... here is an easy solution graph them using https://www.desmos.com/calculator on the left side just type the equation, press enter then type the 2nd equation. see what happens

anonymous · Answer

Do you have answer choices to this question too?

anonymous · Answer

Yes I do @Najia2000 & I typed it in campbell_st

campbell_st · Answer

can we ignore the answers for a while and concentrate on improving understanding

anonymous · Answer

Sure, of course

anonymous · Answer

@campbell_st

anonymous · Answer

@Najia2000

        1
       infinitely many
       0
       2

campbell_st · Answer

so use the link to graph the lines...

anonymous · Answer

Okay but why do I need to

anonymous · Answer

Is there only one solution?

campbell_st · Answer

it will given you a graph of what the lines look like...

campbell_st · Answer

why guess an answer..

anonymous · Answer

I'm not guessing, I'm just wondering. I literally have no idea how this works, you're not really explaining it.

anonymous · Answer

Actually, it's no solution isn't it? Because the lines parallel?

campbell_st · Answer

ok... if you attempted to graph them you would find they look like this

campbell_st · Answer

now I asked you about the slopes...at the beginning

the general slope intercept form is 

y = mx + b

your lines

y = -3x + 7
y = -3x - 6

so any thoughts on what the slope of each line is..?

anonymous · Answer

I did attempt to graph it, and that is what I got. Please explain further.

campbell_st · Answer

can you make any general comment about the lines you graphed..?

anonymous · Answer

They don't touch, that's all I know.

campbell_st · Answer

your teacher would have talked about parallel lines in class...

as the have the same slope.... -3

the answer choices are asking how many times the lines intersect, or cross... 

this is called the solution to the system of equations...

so any thoughts on how many times they intersect..?

anonymous · Answer

Literally none. So I was right then?

campbell_st · Answer

that's correct... so if you can't identify the slopes... then use something to graph them... the image helps your understanding