Solve the system of equations algebraically. Show all of your steps.
y=x^2+2x
y=3x+20
Can someone please explain to me how to do this? I want to actually learn it, please.
Thanks! :)

1. Eli

Since you have two equations that equal y, you can set them equal to themselves, so 3x+20=x^2+2x

If you move those all over to one side, you get that x^2-x-20=0. From there you can factor out into two parts, (x-5)(x+4)=0. So for this set of equations you can know that the values of x where they intersect are -4 and 5.

All you need to do now is choose an equation to input the values in to solve for y. So, y= 3(-4)+20=8 when x=-4 and y=3(5)+20=35 when x=5. Therefore the two points at which they intersect are (-4,8) and (5,35)

Wow, thanks so much! I really appreciate it Eli! :D

3. ryan

4. Hazel G. Bloodlock

Yes, That is the answer. I just took the test a second time.

5. Hazel G. Lancaster

LOL. my last name be not bloodlock. I was messin' with you people. btw, I'm Scottish.

6. Hazel G. Lancaster

Totally off topic. My grave apologies. carry on enthusiasts.

7. Katie Grace

Isn't Hazel G. Lancaster from a movie, In fact, it is actually from The Fault in Our Stars. Which happens to be my favorite movie of all time. And one of the main character's name is Hazel Grace Lancaster.

8. Augustus Waters

I would confirm that this is correct, but I haven't taken it yet so I'm still figuring it out (; good luck

9. Katie Grace

Seriously, "Augustus Waters". I bet you aren't nearly as cute as him, a.k.a Ansel Elgort. Why do you guys insist on torturing me, LEAVE THE BEST CHARACTERS IN THE WORLD OUT OF THIS. ( Just so you know Hazel Grace Lancaster's real name is Shailene Woodley. Both Ansel and Shailene appear in the Divergent series.) Also check out Ansel Elgort's Album, Yes he sings!

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