Step 1: Check statement 1.
Methotrexate is actually a first-line systemic drug used to treat psoriasis, not a cause of it, so statement 1 is correct
Step 2: Check statement 2.
Levothyroxine is thyroid hormone replacement given for hypothyroidism; excess dosing can push a patient towards hyperthyroid symptoms, but its intended indication is hypothyroidism, making the pairing in statement 2 wrong
Step 3: Combine the verdicts.
One statement holds true and the other does not
\[ \boxed{Statement 1 correct; Statement 2 wrong} \]