What are the solutions to the following system of equations? Select the correct answer below.

y = x2 − 2x + 4
8x + y = 20

Question

What are the solutions to the following system of equations? Select the correct answer below.

y = x2 − 2x + 4
8x + y = 20

kinged · Answer

Make the second equation in terms of y.

kinged · Answer

Then equate both equations and then solve for x.

destinykiara99 · Answer

y=x^2-2x+4
y=20-8x
x^2-2x+4=20-8x

destinykiara99 · Answer

Solve for X?

destinykiara99 · Answer

@kinged

will.h · Answer

you still need help?

destinykiara99 · Answer

Yes I do

destinykiara99 · Answer

I know the X values but not the Y so I have it narrowed down to two possible answers

will.h · Answer

ok, 1st of all there are ways to solve a system of equations. let's first correct the shape of the equations. 
$$y=x^2 -2x + 4$$ 
$$y=-8x + 20$$
Good so far?

destinykiara99 · Answer

Yes, I already have that. I know that when you make the two equations equal to each other X=2 and X=-8

will.h · Answer

can you solve those equations using substitution method?
Like instead of y in the second equation we can plug x^2 -2x + 4

Like this
$$x^2 - 2x + 4 = -8x + 20$$

will.h · Answer

AND YES I JUST SOLVED IT
YOUR ANSWER IS CORRECT
YOU CAN PLUG X IN ANY EQUATION TO FIND Y
HOPE THAT HELPS

destinykiara99 · Answer

Thank you so much, I got it now :)