# Multivariable equation in multiplicative group Z_p

I am able to, in wolfram alpha, plug in the equation

11=x*(y^119)^149mod151

where all numbers are in Z_151

and wolfram is able to give me a set of non-zero solutions (x,y) that I think satisfy (11*y^119, y)

I have tried using symbolic equations and the sage quickstart for number theory to replicate this functionality, but I am getting stuck on some integer conversion TypeErrors in sage.

I have tried to set it up like:

x,y = var('x,y');

qe=(mod(x*(y^119)^149,151)==mod(11,151))

Can someone help me set up this equation, and then solve for all possible non-zero solutions?

THanks!

To display inline code, use backticks. To display blocks of code or error messages, separate them by a blank line from the rest of the text, and indent them with 4 spaces, or select code lines and click the "code" button (the icon with '101 010').

For instance, typing

will produce:

Can you edit your question to do that?

Is this the same question as here?

https://ask.sagemath.org/question/39003/solving-two-variable-equations-mod-p/