What is the solution to the following system of equations? Y equals X squared + 10 X + 11 and Y equals X squared plus X - 7

Step-by-step explanation:

the system is:

y=x²+10x+11 ... (1)

y=x²+x-7 ... (2)

by (1) and (2) : x²+10x+11 = x²+x-7

10x+11 = x - 7

10x - x = - 7 - 11

9x = - 18

x = - 18/9 = - 2

put this value in (1) or (2) : y = (-2) ² + (-2) - 7 = 4 - 9 = - 5

single solution for this system : (-2; - 5)