Question

What are the solutions to the following system of equations?

x − y = 6
y = x^2 −6

A) (0, −6) and (7, 1)
B) (0, −6) and (1, −5)
C) (0, −6) and (9, 3)
D) (0, −6) and (−9, 3)

Answer 1

The answer is B.

Explanation:

hope this helps

Answer 2

B

Explanation:

1. Notice all the LHS answers are (0,-6) so that's definitely an answer

2. Substitute out the y so 2nd equation becomes x-6=x^2-6; so x^2-x=0; therefore x=0 or x=1

3. x=1 so y=-5 and that's the second answer hence B