He said he wanted to see the house.

I wonder if you two are lovers? If a girl in love tells you that she is going to see the house, it means that she wants you to see the house with her. As a result, you said you should go, but you didn't intend to be with her. Maybe she's unhappy. As a boy, she doesn't take the initiative at all and doesn't go with girls. If you are good friends, the girl says she is going to see the house, maybe she just tells you, maybe there is no other meaning, maybe the girl has a crush on you, or just wants you to see the house with her. I think you'd better suggest going to see the house with her.