Yy =6x−30 =x 2 −18x+114 if (a, b)(a, b)left parenthesis, a, comma, b, right parenthesis is the solution to the system of equations shown above, what is the value of bbb?

For this case we have the following system of equations:
 
 Equaling both equations we have:
 
 From here, we rewrite the polynomial:
 
 Adding similar terms we have:
 
 Factoring we have:
 
 Therefore, the solution is:
  (multiplicity 2)
 Substituting the value of x in any of the equations we find the value of y:
 
 Therefore, the ordered pair solution is:
 
 
 the value of b is: