Answer:
these equations have no solution in the domain of real numbers
Step-by-step explanation:
Hello! To solve this problem of equations first let's equate equations one and two and perform the procedure to find X
[tex]Y=x^2-4\\Y=-x-5[/tex]
[tex]x^2-4=-X-5\\x^2+X+1=0[/tex]
if we solve the quadratic equation we find the following results
[tex]X1=-\frac{1}{2} +\frac{ \sqrt[2]{3} }{2}i\\X2=-\frac{1}{2} -\frac{ \sqrt[2]{3} }{2}i[/tex]
as we can see the two answers result in imaginary numbers which means that the two equations are not intercepted I attached a picture of the graph
