Question

Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for this solution to be reasonable, which qualifications must be met?

b must equal 7 and a second solution to the system must be located at the point (2, 5).
b must equal 1 and a second solution to the system must be located at the point (4, 5).
b must equal 7 and a second solution to the system must be located at the point (1, 8).
b must equal 1 and a second solution to the system must be located at the point (3, 4).

Answer 1

b must equal 7 and a second solution to the system must be located at the point (2, 5). I just did edjenuity, systems, mixed degree systems and got 100%

Answer 2

b must equal 7 and a second solution to the system must be located at the point (2, 5)
when b = 7 -------> (x - 3)^2 = y - 4 , y = -x + 7 x=2, y=5 x=3, y=4