Question

Tonya's first step in solving the equation 1/2 (2y + 4) = = -6 is to use the Distributive Property on the left side of the equation. Deon's first step is to multiply each side by 2. Which of these methods will result in an equivalent equation? Explain why.

Answer 1

`\begin{gathered} (1)/(2)(2y+4)=-6 \\ \text{Distributive property }means\text{ you multiply each element separately, then} \\ add\text{ their products } \\ \text{Multiplying }eachside\text{ by 2 we have:} \\ 2\cdot(1)/(2)(2y+4)=(-6)\cdot2 \\ 2y+4=-12 \\ 2y=-12-4 \\ 2y=-16 \\ y=-8 \end{gathered}`