Respuesta :
[tex]\tt Step-by-step~explanation:[/tex]
To solve for d, we have to move all the terms that do not equal to d to one side of the equation and leave d on the other side.
[tex]\tt Step~1:[/tex]
First, subtract n from both sides.
[tex]\tt 9d+n-n=57-n\\9d=57-n[/tex]
[tex]\tt Step~2:[/tex]
Divide all terms by 9 to get the variable d by itself.
[tex]\tt \frac{9d}{9} =d\\\\\frac{-n}{9} =-\frac{n}{9}\\\\\frac{57}{9}=6\frac{1}{3} ~or~\frac{19}{3} \\\\d=-\frac{n}{9} +\frac{19}{3}[/tex]
[tex]\Large\boxed{\tt Our~final~answer:~d=-\frac{n}{9} +\frac{19}{3} }[/tex]
[tex] \LARGE{ \underline{ \pink{ \bf{Required \: answer:}}}}[/tex]
Since there are two variables in the equation and no other simultaneous equation is not given, We need to express d in terms of other elements in the equation.
GiveN:
- 9d + n = 57
So, Let's find d from the above equation. Subtracting n from both sides of the equation.
⇛ 9d = 57 - n
Now dividing the equation by 9,
⇛ 9d / 9 = 57 - n / 9
⇛ d = 57 - n / 9
Thus, the required answer for d is:
[tex] \boxed{ \rm{d = \frac{57 - n}{9} }}[/tex]
And we are done ......
#KeepOnExploring