Question

What is the solution set of this system of equations?

y = x2 − 3x − 4
x = y + 8

a.{(-1, 0), (4, 0)}
b.{(8, 0), (0, 8)}
c.{(0, 0)}
d.{(2, -6)}
e.There is no real solution.

Please help me, I'm afraid I will fail. Please no "solve it yourself" answers. Thank you guys so much! <3

Answer 1

d option is right answer

Answer 2

Option: d is the correct answer.

The solution set of this system of equations is:

d. {(2, -6)}

Explanation:

We are given a system if equations by:

`y=x^2-3x-4-------(1)`

and
`x=y+8`

i.e.

Also, from equation (2) we get:

`y=2-8\\\\\\i.e.\\\\\\y=-6`

Hence, the solution set is: {(2,-6)}