The tenant can try to negotiate with the landlord. Sometimes a landlord may be more interested in keeping a good tenant than in receiving a little extra money. The landlord may also be willing to not increase the rent if the tenant offers to help with maintenance tasks like painting or shoveling the snow.
If the landlord will not negotiate, then the tenant will either have to find a way to pay the increased rent or find a less expensive place to live. If the tenant decides to move out, proper notice will have to be given to the landlord to terminate the tenancy if it is periodic.
If the tenant does not begin paying the increased amount of rent, the landlord can serve the tenant with a 14-day notice to terminate for non-payment of rent and the tenant can be evicted if the increased amount is not paid.