4. Solve this equation for y: y3=2x

Question

(1 point)
Responses

y=23x
y is equal to 2 thirds x

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

y=2x−3
y is equal to 2 x minus 3

y=6x

Answer 1

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

1. Start with the equation:
   \[ y^3 = 2x \]

2. Take the cube root of both sides to solve for \( y \):
   \[ y = \sqrt[3]{2x} \]

This is not directly presented in your responses, so let's identify the correct choice if we were to rewrite or interpret \( \sqrt[3]{2x} \) in a simplified format.

None of the provided options \( y=23x \), \( y=2x+3 \), \( y=2x−3 \), or \( y=6x \) match \( y = \sqrt[3]{2x} \).

Therefore, based on the original equation and solving for \( y \), none of the provided responses are correct. The correct solution for \( y \) is: \[ y = \sqrt[3]{2x} \]