Question

Y=x^2-4x+6 and y=x+2

Answer 1

(1,3) and (4,6)

Explanation:

----Solve by substitution---

`x^2-4x+6=x+2`

Add 4x to both sides

`x^2+6=5x+2`

Subtract 2 from both sides

`x^2+4=5x`

Subtract 5x from both sides

x^2-5x+4 = 0

Factor , = (x-4)(x-1)

First variable : x = 1 and x = 4

-------------------------------

Substitute 1 for x in the 2nd equation

y=(1)+2 = 3

First answer is (1,3)

---------------------------------

Substitute 4 for x in the 1st equation

4^2-4(4)+6 = 6

Second answer: (4,6)