solve the system: y=-x^2+5x+1 and y=2x+3. please tell me how you got your answer

Question

mertsj · Answer

replace the y in the first equation with the value of y given by the second equation.  
2x+3 = -x^2+5x+1
x^2 -3x +2 = 0
(x-2)(x-1)=0
x=2 or x = 1

hero · Answer

This is algebra 2 honors? You'd think it would be harder.

anonymous · Answer

we're having midterms and this is review for chapter 2 or 3 ok?

hero · Answer

You don't have to explain yourself

anonymous · Answer

how did you get x^2 isnt it supposed to be -x^2?

hero · Answer

I can explain it to you. vyew?

hero · Answer

http://vyew.com/418625/Open_Study_Math

hero · Answer

?? Are you coming or not?

anonymous · Answer

no explain it here

hero · Answer

That site is an extension of OS

hero · Answer

Don't worry about the other stuff you see there. I will show you exactly how to do it.

anonymous · Answer

thats great, i dont want to go on that site though s

hero · Answer

Why not? What's wrong with it?

anonymous · Answer

are you gonna show me or not?

hero · Answer

Trust me, I'd rather show you on here, but the tools here aren't good enough.

hero · Answer

Someone already showed you but you still didn't understand.

anonymous · Answer

oh well ill figure it out on my own thanks for your time man

hero · Answer

Going on the other site will make sure you get it

hero · Answer

Oh well, your loss.

anonymous · Answer

no thanks man

earthcitizen · Answer

$$y=-x^2+5x+1=0$$

hero · Answer

The problem is, the OP can't see the problem being solved in real time. That's why he or she isn't understanding.

earthcitizen · Answer

OP ?

hero · Answer

Original Poster

anonymous · Answer

well then explain it

earthcitizen · Answer

can you find the roots of the equation ?

hero · Answer

I was but at a different location

earthcitizen · Answer

yh, Hero it's easy to explain

anonymous · Answer

yeah i got either (4,-1) or (-4,1)

earthcitizen · Answer

plug yhose values into the linear equation

earthcitizen · Answer

those are the points where the straight line and the curve meet

hero · Answer

Plug x back in to find y

hero · Answer

Obviously there are two solutions here

anonymous · Answer

3-1 doesnt get you 4...?

hero · Answer

Had to correct a slight mistake

hero · Answer

But anyways, there are two solutions. Plug x back in to find y

hero · Answer

No it isn't

anonymous · Answer

it would be -1 and -2

hero · Answer

It isn't the second step that's wrong. That's more like the fourth step, but okay

anonymous · Answer

yeah cause you fixed it but your solution is wrong

hero · Answer

Anyways, here's what you do: 

First set y = y: 

-x^2+5x+1 = 2x+3

Then move everything on the left side to the right side: 

x^2-3x+2 = 0

Then solve for x by factoring: 

x^2 - 3x+2 = 0
x^2-2x-1x +2 = 0
x(x-2)-1(x-2)=0
(x-2)(x-1) = 0

x = 2, x = 1

anonymous · Answer

wow i ended up doing the problem for you

hero · Answer

When we first started, you didn't even have a clue, so shush

anonymous · Answer

ma'am ma'am please

hero · Answer

Never complain when someone is trying to help YOU out

anonymous · Answer

oh and fyi bro you had like 3 mistakes in a 4 step equation so dont shush me

hero · Answer

That's because you didn't go to vyew like I asked you.

anonymous · Answer

hahahah someone even gave me a medal for good answer

earthcitizen · Answer

WTH

anonymous · Answer

alright ma'am, whatever floats your boat

earthcitizen · Answer

http://www.wolframalpha.com/input/?i=y%3D-x%5E2%2B5x%2B1+and+y%3D2x%2B3

hero · Answer

The bottom line is, I made mistakes trying to help you. It will never happen again.

earthcitizen · Answer

here