Find values for.... (are these right?)

[RicanGurl]

Consider the system below, where m and b are constants.
y= 4x+3
y=mx+b

a) Find values for m and b so that the given system is inconsistent. What is the solution set of your system?

b) Find values for m and b so that the given system is dependent. What is the solution set of your system?

c) Find values for m and b so that the given system is a one-point-solution-system.

For a) I put ~ y=4x+3
y=4x+6

The solution set of this system is y= 4x+6.

For b ~ I do not know, couldn't I just leave it to be the same ~ y=4x+3

For c ~ y=4x+3
y=2x+3 <~ a one point-solution system

I'm not sure these are right. Someone help or let me know please~ [/i]

 

[tkhunny]

Get a little confidence. Why do you doubt?

You did great.

Everything but the solution set on a). The system is inconsistent. There are no solutions. Can you say, "Null Set"?

 

[RicanGurl]

yeah but

I still don't know how to do b. I need help on it! and isn't the equation i chose for A inconsistent?... they both are parallel. So wouldn't what I put be right?

 

[stapel]

Re: yeah but

they both are parallel. So wouldn't what I put be right?

How can parallel lines (which never cross or touch) have a "solution" (a set of intersection points) of one of the lines (an infinite number of intersection points)?

Eliz.

 

[stapel]

I still don't know how to do b.

What sort of system is "dependent"? (Check your book. In addition to a discussion, there is almost certainly a picture of this.)

Eliz.