Question

-2x + 4y = 16a. y = 2x + 4b. y = -2x + 4C. y = 1/2x + 4 D. y = 1/2x - 4

Answer 1

Given the following equation:

$-2x+4y=16$

You can follow the steps shown below in order to solve for "y":

Step 1. You must apply the Addition property of equality by adding 2x to both sides of the equation:

$\begin{gathered} -2x+4y+(2x)=16+(2x) \\ 4y=2x+16 \end{gathered}$

Step 2. Finally, you must apply the Division property of equality by dividing both sides of the equation by "4", as following:

$\begin{gathered} \frac{4y}{4}=\frac{2x+16}{4} \\ \\ y=\frac{2x}{4}+\frac{16}{4} \end{gathered}$

Step 3. Simplifying the right side of the equation, you get:

$y=\frac{1}{2}x+4$

The answer is: Option C.