Answer:
[tex]w=\dfrac{x-3y+1}{3}[/tex]
Step-by-step explanation:
The given expression is :
x = 3 (y + w) -1
We need to find the value of w in terms of x and y.
Solving RHS of the given expression :
x = 3y+3w-1
subtracting both sides 3y.
x-3y = 3y+3w-1 -3y
x-3y = 3w-1
Add 1 both sides
x-3y+1=3w-1+1
3w=x-3y+1
[tex]w=\dfrac{x-3y+1}{3}[/tex]
Hence, the correct option is (c) "[tex]w=\dfrac{x-3y+1}{3}[/tex] i.e. w = StartFraction x minus 3 y + 1 Over 3 EndFraction.