Answer:
The product of the y-coordinates of the solutions is equal to zero
Step-by-step explanation:
we have
[tex]x^{2}+y^{2}=9[/tex] -----> equation A
[tex]x+y=3[/tex] ------> equation B
Solve by graphing
Remember that the solutions of the system of equations are the intersection point both graphs
using a graphing tool
The solutions are the points (0,3) and (3,0)
see the attached figure
The y-coordinates of the solutions are 3 and 0
therefore
The product of the y-coordinates of the solutions is equal to
(3)(0)=0
