# Solving a system of equations over the field of rational functions in Q

I have a system of equations over the field of rational functions with coefficients in Q:

g == x^2 (r + b+1), r == x^3 (g + b+1), b == x (r + g+1),

where g, r and b are unknown rational functions with coefficients in Q. How do I solve this with Sage?

Thank you!

Am I right in supposing that you mean that

`b, r, g`

arerational functions of the sole?`x`

variableYes, that's true.