Question

What is the solution set of this system of equations?

Answer 1

Answer:

Option: d is the correct answer.

The solution set of this system of equations is:

             d.   {(2, -6)}

Step-by-step explanation:

We are given a system if equations by:

         $y=x^2-3x-4-------(1)$

and  $x=y+8$

i.e. $y=x-8-------(2)/tex]Hence, we will put the value of y from equation (2) in equation (1)[tex]x-8=x^2-3x-4\\\\\\i.e.\\\\\\x^2-3x-x-4+8=0\\\\\\i.e.\\\\\\x^2-4x+4=0\\\\\\i.e.\\\\\\(x-2)^2=0\\\\i.e.\\\\\\x=2$

Also, from equation (2) we get:

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

Hence, the solution set is:  {(2,-6)}

Answer 2

D option is right answer