We will use substitution to solve this system for x.
Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.
We now have our solution.
D.
We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.
Since the equation checks out, our solution is correct.
Answer:
The roots are real and distinct.
Step-by-step explanation:
Given the following equation:
In this problem, a = 1, b = k and c = -k - 2
The discriminant is b² - 4ac, and for the roots to be real and distinct, it must be at least or greater than 0.
We get,
(k)²- 4(1)(-k - 2) = 1 - 4(-k - 2)
= k² + 4k + 8
Let's check:
At k = -2,
At k = 0,
At k = -100,
Therefore, we can conclude that for all values of k, the roots are real and distinct.
This has been a long way in answering this question, so it would be great if you could mark me as brainliest