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! :)

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1. 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)

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posted by Eli
2. Wow, thanks so much! I really appreciate it Eli! :D

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3. is that the final answer?

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posted by ryan
4. Yes, That is the answer. I just took the test a second time.

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

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

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7. 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.

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

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9. 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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10. @Katie Grace

you need to chill, they are just characters

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