Math 8 System of Equations Help - Please Help!

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AbhiKap

Junior Member
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Aug 23, 2012
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Hello, AbhiKap here

I really need help on this problem:

Without solving, determine the number of solutions for the system of linear equations: 3y=33x-7 and y=11x+3.

There are 3 choices offered, one solution, no solution, or infinitely many solutions. I know how to do this with graphing, but not without solving.

Thanks, Help is appreciated
 
AbhiKap said:
I did
Click to expand...

Please explain to me the part(s) in your request for help where you posted the following:



explain why you're stuck, if you've already started but cannot finish

OR If you cannot begin, then please tell us why



I'm not seeing it. ;)



PS (also from our posting guidelines): We need some clues about what you find confusing, so that we can determine where to begin helping you.
 
AbhiKap said:
Hello, AbhiKap here

I really need help on this problem:

Without solving, determine the number of solutions for the system of linear equations: 3y=33x-7 and y=11x+3.

There are 3 choices offered, one solution, no solution, or infinitely many solutions. I know how to do this with graphing, but not without solving.

Thanks, Help is appreciated
Click to expand...

Hint:

Since these are linear equations,

What type of graphs would those make?
 
AbhiKap said:
**Well, I see that the slope would be the same which means it [they] would be parallel? Correct?

Thanks, Help is appreciated
Click to expand...

That is incorrect. Now, those two lines may actually be parallel.
However, I am addressing ** above.

Lines wiith equal slopes are either 1) parallel (no solutions for their intersection),

or 2) the same line (an infinite number of solutions for their intersection).

Also, lines with undefined slopes are either parallel or are the same line.


The equality of the slopes (or both slopes being undefined) of the lines is necessary,
but not sufficient, to state that they are parallel to each other.
 
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