How many solutions does the following system of equations have? y=5/2+2. 2y=5x+4

Question

tkhunny · Answer

I would guess only 1 since the first equation directly specifies the value of y.  Did you type it correctly?

anonymous · Answer

WELCOME TO OPENSTUDY :D

anonymous · Answer

I believe so, thank you! :D

e.mccormick · Answer

So, you did not miss an x?

anonymous · Answer

Oh! looks like I did! x)

anonymous · Answer

I answered that there was one solution, seeing as they ended up being the same equation. :o

e.mccormick · Answer

Then graph the lines.  it should be reallly, really, easy.  Then, any place they touch is a solution.  AH, yah.  I knew that they were the same line.  That means infinite solutions.

e.mccormick · Answer

In systems the general answers are 0, 1, and $\infty$.

anonymous · Answer

Sweet, thanks :D

e.mccormick · Answer

0 is parallel lines, planes, etc. 
1 is a single point of intersection.
$\infty$ is a shared line, plane, etc.

e.mccormick · Answer

Here is a graphic for you to think about. It has some extra information that becomes important in say Linear Algebra: http://1.bp.blogspot.com/_y62bUPRm_F8/TH1Qa2HyJtI/AAAAAAAAAAs/FiumHklefcw/s1600/sys-1.jpg