Question

What is one of the solutions to the following system?

y-3=x
x^2-6x+13=y

A) (-5,2)
B)(–2, 1),
C) (2, 5),
D) (8, 5)

Answer 1

the answer to the question above is  c (2,5) u were correct

Answer 2

Answer:

The solution is (2,5)      

Step-by-step explanation:

Given the two equations

$y-3=x$

$x^2-6x+13=y$

we have to find the solution of the above two equations.

$y-3=x$ ⇒ $y=x+3$

$x^2-6x+13=y$

Substituting value of y

$x^2-6x+13=x+3$

$x^2-7x+10=0$

$x^2-5x-2x+10=0$

$x(x-5)-2(x-5)=0$

$(x-5)(x-2)=0$

x=5 or x=2

when x=2, y=2+3=5

Hence, the solution is (2,5)

Option C) is correct.