ANSWER
6 and -7
Step-by-step explanation
If we multiply two numbers and get a negative number, then one of the numbers is positive and the other is negative. Since the addition of these two numbers gives a negative number, then the negative number must be greater in module than the positive number.
The two numbers that multiplied give 42 are 7 and 6. The greater number must be negative to give -1 in the addition:

The two numbers we're looking for are 6 and -7