Set 14: Linear Equations (Advanced)

Choice B is correct. Choice Ahoice C is the correct answer. When a variable is divided by a number, we multiply to solve. 1. Start with the equation: $\frac{x}{5} = 8$ 2. Multiply both sides by 5: $x = 8 \times 5$ 3. Calculate: $x = 40$ 4. Verify: $\frac{40}{5} = 8$ ✓ Key Strategy: Division equations like $\frac{x}{a} = b$ always have the solution $x = ab$. Multiply the number on the right by the divisor. Choice Ahoice B is incorrect because this results from dividing 8 by 5 instead of multiplying: $\frac{8}{5} = 1.6$. This applies division again rather than using its inverse. Choice Ahoice C is incorrect because this comes from adding: $8+ 5 = 13$. Addition is not the inverse of division. Choice Ahoice D is incorrect because this results from subtracting: $8- 5 = 3$. Subtraction doesn't undo division.