pdflatex – How to align equation systems in LaTeX?

I’m new to LaTeX and I’m having issues with aligning this equation system. I’m trying to align it in a way such that the x’s, +’s, y’s and =’s are all aligned. I don’t know if that’s possible or not, but I couldn’t find help online.

I’ve tried using systeme*, this way it aligned the =’s.

[
systeme*{ax + by=c,dx^2 + ey^2=f}
]

My next attempt was to use &, which I’ve noticed you can only use once to change the alignment.

[
systeme*{ax& + by=c,dx&^2 + ey^2=f}
]

This way it aligned the x’s.

Thanks for you help.