mates do not apply in solidworks > correct
they need to be replaced with contact or connectors
you're using the terminology "links" is that coming from another software program? what do you do in that program?
but in this case if you wanted to say pull the carriage out of the page, a bonded contact set would be a good fit step and then you could move to no penetration contact afterwards to get more fidelity in the contact between them. but yes, contact is the only way to go.
but overall, you didn't comment on what you're trying to learn about this system so it is difficult to provide further guidance on setup