Question

To solve the equation 8d = 2d, Lin divides each side by 2d, and Elena subtracts 2d from each side. Will both moves lead to the solution? Explain your reasoning. Question 5 Solve the equation 8d = 2d that Lin and Elena were working on in Question 4. d=

Answer 1

Lin working

$\begin{gathered} 8d=2d \\ \text{divide both sides 2d} \\ \frac{8d}{2d}=\frac{2d}{2d} \\ 4=1 \end{gathered}$

Elena working

$\begin{gathered} 8d=2d \\ \text{subtract 2d from both sides} \\ 8d-2d=2d-2d \\ 6d=0 \\ d=0 \end{gathered}$

Elena moves will lead to a solution of d which will be equals to zero . Lin working will definitely cancel d on both sides and lead to no solution .