Asked by Mel

"Solve each system algebraically. Identify each system as cosistent and dependent, cosistent and independant, or inconsistant."
my teacher didn't go over this in class and i have no idea what it means! here are the problems:

#1) 2f+3g=11
f-g=(-7)

#2) 4x=y+5
6x+4y=(-9)

#3) 4r+t=8
t=4-2r

#4) y=3/2x-4
2y-8=3x

please help!! thanks, Mel :)
Answered by Mel
oh btw LT hi it's me! mr. j on the pot lol!
Answered by Reiny
Ahh, the old "my teacher did not explain this" story.

So you have a textbook?
These terms will all be defined in your text.

For a bried explanation:

Each of these pair of equations are represented by two straight lines

Now suppose you draw any two straight lines.
there are three possibilities:
1. they will intersect
2. they will be two parallel lines
3. one line will coincide with the other one.

In terms of intersections:
1. there will be one intersection point
2. they will never intersect
3. they will "intersect" in an infinite number of points.

the terms above should match these conditions. I am sure you can find it.
Answered by Mel
thanks!

i did check in my book, but it didn't really help. i guess i'll look again....
Answered by Penny
If you do, #1 is g=25 and f=18. That would mean it is consistent and independent, right?

:-)
Answered by Mel
no, but thanks anyway Penny! and that is what i got...haha i just got your e-mail.....;)
Answered by pullom
{4r+t=8 {t=4-2r
Answered by pullom
what is the difference between solving a system algebraically(by substitution)that yields one solution and infinitely many solutions
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