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)

Question

asked Jul 27, 2024 178k views

2 Answers

Bfmags · Answer 1 · 2024-07-31T23:23:20+0000

Answer:

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