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. 👍
2. 👎
3. 👁
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)

1. 👍
2. 👎
2. Wow, thanks so much! I really appreciate it Eli! :D

1. 👍
2. 👎
3. is that the final answer?

1. 👍
2. 👎
4. Yes, That is the answer. I just took the test a second time.

1. 👍
2. 👎
5. LOL. my last name be not bloodlock. I was messin' with you people. btw, I'm Scottish.

1. 👍
2. 👎
6. Totally off topic. My grave apologies. carry on enthusiasts.

1. 👍
2. 👎
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.

1. 👍
2. 👎
8. I would confirm that this is correct, but I haven't taken it yet so I'm still figuring it out (; good luck

1. 👍
2. 👎
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!

1. 👍
2. 👎
10. @Katie Grace

you need to chill, they are just characters

1. 👍
2. 👎
11. katie grace is the kind of person that makes out with her One Direction poster and tells her friend about it

1. 👍
2. 👎
12. i will second that statement only for the fact i found it funny

1. 👍
2. 👎
13. Are the steps correct??

1. 👍
2. 👎
14. Ye i think so, just don't copy directly, otherwise teachers could get u for plagiarism. Just use it for info :)

1. 👍
2. 👎
15. wyd stepbro

1. 👍
2. 👎
16. hey step sis ;)

1. 👍
2. 👎
17. um... i feel like im interrupting something here my dudez

1. 👍
2. 👎
18. do you want me to stop?

1. 👍
2. 👎
19. no, i know its wrong but it feels so good

1. 👍
2. 👎

1. 👍
2. 👎
21. this is v confusing and weird

1. 👍
2. 👎

## Similar Questions

1. ### algebra

Solve the system of equations algebraically. Show all of your steps. y=x^2+2x **y=x^2+2x (2/2)^2=1 1=answer** y=3x+20 **y=3x+20 (3/2)^2=2.25 2.25=answer** am i right or wrong, if im wrong could someone show me the steps

2. ### Algebra

Create a system of equations that includes one linear equation and one quadratic equation. Part 1. Show all work to solving your system of equations algebraically. Part 2. Graph your system of equations, and show the solution

3. ### How do I do this.?(Math.)

Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y - 2x = -5 y = 2x - 5 Now let's substitute 2x - 5 for y in the second

4. ### Algebra

9. Solve the system of equations algebraically. Show all work. (2 pts.) y = -x2 + 4x – 3 y = -x + 1 I have tried everything before coming here, but I'm still stuck.

1. ### Algebra/Precalculus

Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) 3x-3y+6z=6 x+2y-z=8 5x-8y+13z=4

2. ### Math

Solve the system of equations algebraically. Show all of your steps. y=x^2+2x y=3x+20

3. ### Math

I been stuck on this assignment since yesterday and I need some to help explain this to me and provide steps so I can come to the conclusion myself, thank you! For problems 1-4 solve the given system of equations using either

4. ### Algebra

Solve the system of equations algebraically. Show all of your steps. y=x^2+2x y=3x+20

A system of equations is given below: y = 3x + 4 2x + 3y = 10 Which of the following steps could be used to solve by substitution? (4 points) 3x + 4 = 2x + 3y 2x + 3(3x + 4) = 10 2(3x + 4) + 3y = 10 3(y = 3x + 4) (I don't

2. ### Science

solve the system of equations algebraically. show all your steps. y=x^2+2x y=3x+20 Can someone show me step by step on how to get the answer it's, there are answers like this that is going to be on my math test and I don'tget it.

3. ### Math

solve the systems of equations algebraically. please show all your steps. y=x^2+2x y=3x+20

4. ### Algebra

Solve the system of equations using substitution. x + 4y = -5 3x - 8y = 45 When I tried to solve it, I got x=-17 and y=-3. When I plugged these into the first equation, it didn't work out at all. Could someone please show me the