Question

Solve the system by substitution.

y = x^2 - 2x + 1
y = 2x + 1

Answer 1

Alright so we will substitute the value of the 2nd equation in the 1st equation and then we will be able to solve for x
2x + 1 = x^2 -2x + 1
Solve for x you can use famous quadratic formula but 1st set the entire terms on one side

Answer 2

What do you mean set the entire terms on one side? @Will.H

Answer 3

2x + 1 = x^2 -2x +1
Set the left side equal to 0
How? By getting rid of all terms
Subtract 1 from both sides and 2x from both sides to get
0 = x^2 -4x
Make sense?

Answer 4

Yes @Will.H

Answer 5

Alright. Use famous quadratic formula and find the x values
There will be 2 solutions

Answer 6

Find them and tag me to see if you're correct

Answer 7

Umm. Would it be (2,5) and (1,3)? Or am I wrong? @Will.H

Answer 8

You're wrong.

Answer 9

I'll explain

Answer 10

X^2 -4x = 0
We can use factoring method
GCF is x so
X(x -4) = 0
So either x = 0
Or x-4 = 0 which equal x =4
Make sense?

Answer 11

It does @Will.H

Answer 12

Terrific. Now we will find the y values shall we?

Answer 13

Y = 2x +1
We found x = 0 Or x= 4
So let's find y when x = 0 first
Y = 0 + 1 which equal y = 1
Now when x = 4
Y = 2(4) + 1 which equals y = 9
Make sense?
That's all

Answer 14

So our solutions are (0, 1) and (4,9)
You can ask if something is confusing you. I can explain

Answer 15

Oh it makes sense! Thank you! :) @Will.H

Answer 16

You welcome :)