Question

If (x,y) is a solution to the system of equations shown below, what is the product of the y-coordinates of the solutions? x^2+4y^2=40 x+2y=8

Answer 1

The product of the y-coordinates of the solutions is equal to 3

Explanation:

we have

`x^(2)+4y^(2)=40` -----> equation A

`x+2y=8` ------> 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