Set 16: Linear Equations

Choice B is correct. Choice Ahoice D is the correct answer. We divide both sides by the coefficient to isolate $x$. 1. Start with the equation: $11x = 121$ 2. Divide both sides by 11: $x = \frac{121}{11}$ 3. Simplify: $x = 11$ 4. Verify: $11(11) = 121$ ✓ Notice that the coefficient (11) equals the solution (11) because $121= 11^2$ (11 squared equals 121). Perfect Squares: When you see $11^2 = 121$, you immediately know that $\frac{121}{11} = 11$. Choice Ahoice C is incorrect because this results from subtracting: $121- 11 = 110$. Subtraction is not the inverse of multiplication. Choice Ahoice D is incorrect because this comes from adding: $121+ 11 = 132$. Addition doesn't undo multiplication. Choice Ahoice B is incorrect because this results from multiplying: $121\times 11 = 1331$. Note that this is $11^3$ (11 cubed), but it doesn't help us solve for $x$.