Question

4x2 + 9y2 = 72

x - y2 = -1

Which of the following is not a solution of the system shown?

(-3, -2)
(3, -2)
(3, 2)

Answer 1

the answer would be (-3, -2) because if you plug in x=-3 and y=-2 into the equation, the bottom equation is not equal -1

Answer 2

(A)(-3,-2)

Explanation:

The given equations are:

`4x^2+9y^2=72` and
`x-y^2=-1`

A. Substituting x=-3 and y=-2 in both the above equations, we get

`4(-3)^2+9(-2)^2=36+36=72` and
`(-3)-(-2)^2=-3-2=-5`

which does not satisfies the right hand side of the equation. Therefore, this is the solution of the system.

B. Substituting x=3 and y=-2 in both the above equations, we get

`4(3)^2+9(-2)^2=36+36=72` and
`3-(-2)^2=3-4=-1`

which satisfies the right hand side, therefore this is a solution of the system.

C. Substituting x=3 and y=2 in both the above equations, we get

`4(3)^2+9(2)^2=36+36=72` and
`3-(2)^2=3-4=-1`

which satisfies the right hand side, therefore this is a solution of the system.