Final answer:
Drydin solved the math problem 'x divided by 7 equals 9' by doing the inverse operation: multiplying 9 by 7 to find that x equals 63.
Step-by-step explanation:
Drydin arrived at the answer x equals 63 by performing the opposite operation of division, which is multiplication. The original equation x divided by 7 equals 9 implies that if we multiply 9 by 7, we will get the value of x. Doing so, 9 times 7 equals 63, which confirms that x indeed equals 63. This is because multiplication and division are inverse operations, and multiplying by a number is the same as dividing by its reciprocal. This concept is universally valid in mathematics and does not change regardless of the context or place.