Answer:
(1,3) and (4,6)
Step-by-step explanation:
----Solve by substitution---
[tex]x^2-4x+6=x+2[/tex]
Add 4x to both sides
[tex]x^2+6=5x+2[/tex]
Subtract 2 from both sides
[tex]x^2+4=5x[/tex]
Subtract 5x from both sides
x^2-5x+4 = 0
Factor , = (x-4)(x-1)
First variable : x = 1 and x = 4
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Substitute 1 for x in the 2nd equation
y=(1)+2 = 3
First answer is (1,3)
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Substitute 4 for x in the 1st equation
4^2-4(4)+6 = 6
Second answer: (4,6)
