<｜begin▁of▁sentence｜>### Instruction:
Imagine we're laying down some tracks for a new collaborative music project. We've got different artists—let’s call them artists 1 through 5—and we want to make sure each artist gets a chance to shine, pairing them off for duets on separate songs. We've planned out a series of potential duets: Artist 1 with 2, Artist 1 with 3, Artist 2 with 3, Artist 2 with 4, Artist 3 with 5, and Artist 4 with 5—think of these as our possible collaborations.

Now, we've tentatively scheduled Artist 1 to collaborate with Artist 3, and Artist 2 to work with Artist 4. What we need to confirm is that this lineup works. In other words, we want to ensure no artist is overstretched by being booked for more than one duet and that each planned session is with a unique partner. Can we go ahead with these sessions, or do we need to rework our schedule?
### Response:
import networkx as nx

# Create a graph
G = nx.Graph()

# Add edges to the graph
G.add_edges_from([(1, 2), (1, 3), (2, 3), (2, 4), (3, 5), (4, 5)])

# Define a set that represents a matching
matching = {(1, 3), (2, 4)}

# Use the is_matching function to check if 'matching' is a valid matching of the graph 'G'
is_valid = nx.is_matching(G, matching)

print('Is the matching valid?', is_valid)
<|EOT|>
