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Generate an abstract image relating to the theme of algebra. Include visual elements that symbolize typical algebraic equations, such as the ones the user provided: 'y=x^2+2x' and 'y=3x+20'. Represent the notion of solving these equations and the steps involved in doing so. The scene is centered on a study environment with stationery like pencils, calculator, and notebook. But avoid placing any text or textual content in the actual image.

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! :)

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)

is this right? ;-;

x^2+2x = 3x+20
x^2-x-20 = 0
(x-5)(x+4) = 20
x = 5, -4

um... i feel like im interrupting something here my dudez

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

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

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

is that the final answer?

Are the steps correct??

thanks :>

yes i see

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