Yes, on home PCs I never use a password on the user account; only on the admin account.
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The password it asked you to set during installation was for the system Administrator account. If you then went on to create one or more User Accounts, with or without passwords, that initial one you set is not the one required to log in to a User Account.
Ignore Eillen's advice and leave the system Administrator password in place - just make sure you have a note of it somewhere outside the computer.
Agreed, DO NOT remove the admin account or the even the password to the admin account. If your user account gets corrupted that will save you a lot of work. . .