Question

How do you solve for c in \[5p+9c=P\]?

Answer 1

Hint: we can solve this question using basic linear equations. First we have to take the term for which we have to solve the LHS side and the remaining terms into the RHS side. Now we have to simplify the equation formed to get the value.

Complete step by step answer:
Given equation is
\[5p+9c=P\]
Here in the question it was given that solve for c. so we have to find the equation from which we can find the value of c.
To solve for c first we have to make terms containing terms on LHS side and remaining on RHS side.
For this we have to subtract \[5p\] from both sides of the equation.
After subtracting \[5p\] we will get
\[\Rightarrow 5p+9c-5p=P-5p\]
By simplifying it we will get
\[\Rightarrow 9c=P-5p\]
Now we have isolated c values on the LHS side and remaining on the RHS side.
To get the equation for c we have applied some simplification techniques.
Here we have to divide the equation with \[9\] on both sides of the question.
Then we will get the equation
\[\Rightarrow \dfrac{9c}{9}=\dfrac{P-5p}{9}\]
Now by simplifying the equation we will get
\[\Rightarrow c=\dfrac{1}{9}\left( P-5p \right)\]

So the value of c for the given equation \[5p+9c=P\] is \[\dfrac{1}{9}\left( P-5p \right)\].
 \[c=\dfrac{1}{9}\left( P-5p \right)\]

Note: In this particular question we may think that two \[p's\] that are present in the equation are the same. But we have to notice the difference one is small p and another one capital P. so while solving make sure you are doing correctly, otherwise we may get different answers. We can also check the solution by substituting values in the variables.