### Solving simple utility maximization problems in sage.

Hi all im a new user to sage as a software. Im a mod on the economics.se so I understand if this question does not meet site requirements.

Im interested in solving standard utility maximization problems in economics of the form:

$$u(x_1,x_2)=x_1^{0.7}x_2^{0.3}$$
subject to:

$$p_1x_1+p_2x_2=m$$

the goal of solving this problem would be to solve for the marshallian demand equations:
$$x_1(p_1,p_2,m)$$
$$x_2(p_1,p_2,m)$$

I know how to solve this sort of problem with pen and paper however the appropriate sage code im not sure of.

Any help would be appreciated.