Subjects algebra

Roman Numeral Sum

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1. The problem is to solve the Roman numeral equation: 𝐼𝐼𝐼 + 𝑉 + 𝑉𝐼 = 𝑋𝐼V. 2. First, convert each Roman numeral to its Arabic numeral equivalent: - 𝐼𝐼𝐼 = 3 - 𝑉 = 5 - 𝑉𝐼 = 6 - 𝑋𝐼V = 16 (since 𝑋 = 10, 𝐼 = 1, and 𝑉 = 5, combined as 10 + 1 + 5 = 16) 3. Now, sum the left side: $$3 + 5 + 6 = 14$$ 4. Compare the sum to the right side: $$14 \neq 16$$ 5. Therefore, the equation as given is not balanced. If the intention was to check equality, the left side sums to 14, while the right side is 16. 6. To balance the equation, the right side should be 14, which in Roman numerals is 𝑋𝐼𝐼𝐼 (10 + 1 + 3).