1. **Stating the problem:** We want to find all possible equations of the form $5 \; \square \; 3 = \square \square$ where the operation is either multiplication or division, and the result is a two-digit number. 2. **Possible operations:** The operations can be multiplication ($\times$) or division ($\div$). 3. **Check multiplication:** $$5 \times 3 = 15$$ 15 is a two-digit number, so this is a valid possibility. 4. **Check division:** $$5 \div 3 = \frac{5}{3} \approx 1.666...$$ This is not a two-digit number. 5. **Check if the order can be reversed:** $$3 \times 5 = 15$$ Also valid. $$3 \div 5 = \frac{3}{5} = 0.6$$ Not a two-digit number. 6. **Summary:** The only valid two-digit results from multiplying or dividing 5 and 3 are: - $5 \times 3 = 15$ - $3 \times 5 = 15$ No division results in a two-digit number. **Final answer:** The possible equations are $5 \times 3 = 15$ and $3 \times 5 = 15$.