Answer:
The product of the y-coordinates of the solutions is equal to 3
Step-by-step explanation:
we have
[tex]x^{2}+4y^{2}=40[/tex] -----> equation A
[tex]x+2y=8[/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 (2,3) and (6,1)
see the attached figure
The y-coordinates of the solutions are 3 and 1
therefore
The product of the y-coordinates of the solutions is equal to
(3)(1)=3
