You are not logged in.
Post a reply
Topic review (newest first)
- Ricky
- 2005-12-05 07:08:10
"1. If m+2=0;m=2
0x=-2
No solution"
Not true. Let m = 2, then you get the equations: 2x + y = 2, so y = -2x + 2, and y = 2x + 4. A common solution to these is the point (-1/2, 3).
"2. 2. If m+2≠0;m≠2
x=-2/(m+2)
So:
No solution-
m=2
One solution-
m≠2"
The logic here is right, if m = 2 had no solutions, than all lines without that slope intersect the line. Unforutunately, m = 2 has a solution.
"Infinite many solutions-
m∈{}"
Correct. The x-intercepts are off, and they only thing you can change is the slope.
- krassi_holmz
- 2005-12-05 04:58:52
Sorry Ricky. But Sarah can still answer the question and can verify it with mine.
- RickyOswaldIOW
- 2005-12-05 03:04:04
I wanted sarah to answer the question krassi 
- krassi_holmz
- 2005-12-05 02:42:05
y-2x=4 ⇒y=2x+4 ⇒
mx+y=2 <=>mx+2x+4=2
(m+2)x+4=2
(m+2)x=-2
1. If m+2=0;m=2
0x=-2
No solution
2. If m+2≠0;m≠2
x=-2/(m+2)
So:
No solution-
m=2
One solution-
m≠2
Infinite many solutions-
m∈{}
sorry for the syntax, I don't know English well.
- RickyOswaldIOW
- 2005-12-05 02:17:24
What are the answers sarah? I don't.
- sarah
- 2005-12-05 02:14:15
I get it, I get it! :-D
lol, thanks a lot:)
- Ricky
- 2005-12-05 01:59:27
First, off the bat you should recognize mx+y=2 and y-2x=4 as equations of lines. Now, remember (or learn), that the "solution" to these equations is that line. That is, every (x, y) on that line will work out so that 0 = 0 when you plug it in. 1. When do two lines have no common solution? In other words, when do two lines share no points? 2. When do two lines share all points? And finally, 3. When do two lines share only one point?
- sarah
- 2005-12-05 01:50:26
find the value(s) of m such that the equations mx+y=2, y-2x=4 have
1. No solution.
2. An infinite number of solutions.
3. One real solution.
I don't know how to solve these kinds of problems :s. please, help someone?