Part 1: Decide whether you would use the graphing, substitution, or elimination method to solve the following system of equations. Explain, in complete sentences, why you chose that method.
Part 2: Solve the following system of equations and show all of your work.

4x + 3y = -1
3x + y = 3

@satellite73

Question

Part 1: Decide whether you would use the graphing, substitution, or elimination method to solve the following system of equations. Explain, in complete sentences, why you chose that method.
Part 2: Solve the following system of equations and show all of your work.

4x + 3y = -1
3x + y = 3 

@satellite73

anonymous · Answer

@hartnn @Luis_Rivera @waterineyes

jim766 · Answer

you would use graphing if both equations start with y =
you would use substution if at least one of the equations had a variable alone

do you think you should use one of these?

anonymous · Answer

I think...

jim766 · Answer

I say neither of those fit...
elimination is best used when the equations are in standard form...like these are.
Chose elimimination...

jim766 · Answer

do you know how to do it?

anonymous · Answer

I don't. I'm not good at these at all. And I don't know what you're trying to explain. @hartnn do you know what he's trying to explain because I don't understand.

hartnn · Answer

yes.

jim766 · Answer

We have 2 variables, we need to get rid of one of them,

4x +3y = -1
3x + y = 3     )3        if I mult this eq by -3,  
                                  and then add them togther the
4x + 3y = -1             y's will be eliminated
-9x -3y = -9          
_____________
-5x = -10            now this is an equation I can solve

jim766 · Answer

x = 2,   now do you know how to figure out what y is?

anonymous · Answer

Plug in x=2 to find y?

jim766 · Answer

yes, it doesnt matter which one, which ever looks easiet

jim766 · Answer

3(2) + y = 3
6 + y = 3
-6         -6
      y = -3
                                                                  x   y
the point were these two line intersect is ( 2, -3)

jim766 · Answer

are we good?

anonymous · Answer

Kind of. How would I describe that altogether?

anonymous · Answer

Sorry I am late...

anonymous · Answer

It's okay @waterineyes

anonymous · Answer

So nice of you...

jim766 · Answer

Say that you used elimination, because the equations were in standard form, and you could see it wouldnt be too hard to eliminate one.

jim766 · Answer

* eliminate one variable

jim766 · Answer

do you have to describe how you solve it too?

anonymous · Answer

Here I think we can use Substitution Method also efficiently because y is alone there...

anonymous · Answer

Never Mind...

Sometimes, I speak uselessly..

anonymous · Answer

yes @Jim766  I have to describe how to solve it

jim766 · Answer

say you multiplied the 2nd equation by -3,
then added both equations together..
with the y's eliminated, you solve the equation for x.
Then you substituted the value of x into the 2nd equation to find y

jim766 · Answer

take a look, isnt that what we did?

anonymous · Answer

Yes! Thank you!