Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? determine the solution set algebraically. (–1, –17) (1, –27) (–1, –17) and (1, –27) no solutions

Option 4 - No solutions

Step-by-step explanation:

Given : System of equations and

To find : Determine the solution set algebraically?

Solution :

Let ....(1)

.......(2)

Solving by substitution,

Substitute the value of y from equation (1) and put into equation (2)

Solve,

Now, we determine first that there roots exist or not using the discriminant method.

Where, a=1 ,b=1 , c=1

i.e. D<0 which means the equation has no solutions.

Therefore, Option 4 is correct.

step-by-step explanation:

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