What are the solutions to the following system of equations?

y = x2 − 2x + 4
8x + y = 20

(2, 84) and (−8, 4)
(−8, 2) and (84, 4)
(2, 4) and (−8, 84)
(4, −8) and (84, 2)

Question

What are the solutions to the following system of equations?

y = x2 − 2x + 4
8x + y = 20

(2, 84) and (−8, 4)
(−8, 2) and (84, 4)
(2, 4) and (−8, 84)
(4, −8) and (84, 2)

anonymous · Answer

No, Mac. @mcfizzy321

rishavraj · Answer

u can write the 2nd equation as
y = 20 - 8x

usukidoll · Answer

mcfizzy, stop with these programs. Uploading malicious content will only get you into further trouble just like yesterday . geez.

rishavraj · Answer

as y = x^2 - 2x + 4
and y = 20 - 8x
so
x^2 - 2x + 4 = 20 - 8x 
proceed

anonymous · Answer

So, would combine x2 and 2x and then continue with simplifying?

rishavraj · Answer

$$x^2 - 2x + 4 = 20 - 8x$$
$$x^2 + 6x - 16 = 0$$
solve the equation

anonymous · Answer

Okay, so the factors would be (x-8)(x+2)... is this right so far?

rishavraj · Answer

it would be (x + 8)(x - 2)

anonymous · Answer

Okay, got it. Is this it, or is there more to do? Sorry, I was so confused on this one.

usukidoll · Answer

I'm wondering... how do we find (84,4) ?

anonymous · Answer

I have no idea, that's what I was confused about too.

usukidoll · Answer

because (x+8)(x-2) we have x = -8, 2 ... plug them in and solve for y?!

usukidoll · Answer

wait I think so... like if x = 2

8(2) + y = 20
16+y=20
y=20-16 = 4

usukidoll · Answer

duh I was getting there k...

anonymous · Answer

Ahhhh lol. Makes sense!

anonymous · Answer

So, it would be B?

usukidoll · Answer

we need our answer in (x,y) form 
like when x = 2, y = 4
so (2,4) was one pair
x = -8, y = 84 
(-8,84) was the other one

anonymous · Answer

Okay, so C?

usukidoll · Answer

yes

anonymous · Answer

Thank you so much!!!!