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## Homework Statement

Solve the following equations Simultaneously:

y=x^3 and y=3x-2

My question is, how do I solve this? I've tried everything

## The Attempt at a Solution

I've tried to isolate x in the linear equation and substitute it into the cubic. I don't know if that's wrong but it didn't work for me. This is what I did:

isolate x in linear equation: x= -2/3-y/3

substitute this into cubic equation: y=(-2/3-y/3)^3

I then expanded this and it didn't work.

I also tried: 3x-2=x^3

therefore: x^3-3x+2=0

this didn't work either! please help!