Question

Select the correct answer. Given the following formula, solve for y. y 2 O A. y = 2(0 + 2) - 2 OB. y = 2w + 2 – I O Oc. y = x - (20 + 2) OD. y = r - 2W + 2)

Answer 1

$\begin{gathered} w=\frac{x-y}{2}-z \\ \text{add z to both sides of the equation} \\ w+z=\frac{x-y}{2}-z+z \\ w+z=\frac{x-y}{2} \\ \text{cross multiply} \\ 2(w+z)=x-y \\ 2w+2z=x-y \\ \text{subtract x from both sides} \\ 2w+2z-x=x-x-y \\ 2w+2z-x=-y \\ multiply\text{ both sides by -1} \\ x-2w-2z=y \\ y=x-2w-2z \\ y=x-2(w+z) \end{gathered}$

The answer is D