Solve this equation for y: y3=2x

(1 point)
Responses

y=23x
y is equal to 2 thirds x

y=6x
y is equal to 6 x

y=2x+3
y is equal to 2 x plus 3

y=2x−3

1 answer

To solve the equation \( y^3 = 2x \) for \( y \), we need to isolate \( y \).

First, take the cube root of both sides:

\[ y = \sqrt[3]{2x} \]

Since none of the provided responses match this answer, it seems there may be an issue with the options given. However, from the options you've listed, none of those are correct based on the given equation.

The solution \( y = \sqrt[3]{2x} \) indicates that \( y \) is equal to the cube root of \( 2x \). If you have other options or need further assistance, please let me know!