Answer:
The variable [tex]w[/tex] in terms of [tex]x[/tex] and [tex]y[/tex] is equal to [tex]\frac{x-2y}{2}[/tex]. So, the correct answer is the option 2).
Step-by-step explanation:
The idea is to leave alone the variable [tex]w[/tex] on the left. Follow the procedure below:
1. Pass the term [tex]2y[/tex] to the right side with opposite sign:
[tex]2w=x-2y[/tex]
2. Pass the number [tex]2[/tex] from left to divide to the right.
[tex]w=\frac{x-2y}{2}[/tex]
Thus, the variable [tex]w[/tex] in terms of [tex]x[/tex] and [tex]y[/tex] is equal to [tex]\frac{x-2y}{2}[/tex]. So, the correct answer is the option 2).
