Set 11: Linear Equations (Advanced)

Choice A is correct. Choice C is the correct answer. 1. Start with the equation: $6x + 4 = 28$ 2. Subtract 4 from both sides: $6x = 28 - 4$ 3. Simplify: $6x = 24$ 4. Divide both sides by 6: $x = \frac{24}{6}$ 5. Simplify: $x = 4$ 6. Verify: $6(4) + 4 = 24 + 4 = 28$ ✓ Choice D is incorrect because this results from adding 4 to 28: $32$, then $32 /6 \approx 5.33$. Wrong inverse operation. Choice A is incorrect because this is the value of $6x$. You must divide by 6 to finish. Choice B is incorrect because this results from multiplying 24 by 6: $24\times 6 = 144$.