1. The problem asks to make the Latin the subject of the formula in given cases. 2. To make a variable the subject of a formula means to isolate that variable on one side of the equation. 3. The general approach is to use algebraic operations such as addition, subtraction, multiplication, division, and factoring to rearrange the formula. 4. Since the user did not provide specific formulas, here is a general example: Suppose the formula is $$A = B \times \text{Latin} + C$$ To make Latin the subject: 1. Subtract $$C$$ from both sides: $$A - C = B \times \text{Latin}$$ 2. Divide both sides by $$B$$: $$\frac{A - C}{B} = \text{Latin}$$ 5. Thus, the subject Latin is $$\text{Latin} = \frac{A - C}{B}$$. 6. If you provide specific formulas, I can help isolate Latin in those cases.