Question

Determine which of the following ordered pairs is a solution to the equation 8−2y=4x^2.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Substitute the ordered pairs into the equation to see if they satisfy it. For $(2,0)$, we have $$8-2(0)=4(2^2),$$which simplifies to $8=16$. For $(2,2)$, we have $$8-2(2)=4(2^2),$$which simplifies to $4=16$. For $(2,-2)$, we have $$8-2(-2)=4(2^2),$$which simplifies to $12=16$. Finally, for $(0,2)$, we have $$8-2(2)=4(0^2),$$which simplifies to $4=0$. The only ordered pair that satisfies the equation 8−2y=4x^2 is $\boxed{(2,0)}.$