Event Sourcing and CQRS are architecture patterns that can help solve several problems like making blocking backends non-blocking, implementing distributed transactions across microservices, and scaling CRUD operations massively. Event Sourcing involves logging all state changes as a sequence of events, while CQRS separates read and write operations into different models and APIs. These patterns can help solve the example problems by having client-facing services publish events to a shared event store, while read models are updated asynchronously from the events.