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

The solution is (2,5)

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.