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