Question

If 2y + 2w = x, then W, in terms of X and Y, is equal to? Choose the correct answer.

1) x - y

2) x - 2y
____
2

3) x + y

4) x + 2y
____
2

Answer 1

The explanation described in the picture

Answer 2

Answer:

The variable $w$ in terms of $x$ and $y$ is equal to $\frac{x-2y}{2}$. So, the correct answer is the option 2).

Step-by-step explanation:

The idea is to leave alone the variable $w$ on the left. Follow the procedure below:

1. Pass the term $2y$ to the right side with opposite sign:

$2w=x-2y$

2. Pass the number $2$ from left to divide to the right.

$w=\frac{x-2y}{2}$

Thus, the variable $w$ in terms of $x$ and $y$ is equal to $\frac{x-2y}{2}$. So, the correct answer is the option 2).