Question

How do you solve for c: $Q=2c+1$?

Answer 1

Hint: We have been given a linear equation to solve. The equation is written as $Q=2c+1$ which is in the terms of Q and c. The above question asks us to solve the given equation for c. Therefore, c will be treated as a variable, while Q will be treated as a constant. For obtaining the value of c, we need to subtract $1$ from both the sides of the given equation. Then on dividing both the sides of the obtained equation by $2$, we will finally get the required value of c.

Complete step by step answer:
The equation given to us in the above question is
$\Rightarrow Q=2c+1$
According to the question, we need to solve the above equation for c. This means that c will be treated as a variable, and Q will be treated as a constant so that we will obtain the value of c in terms of Q. For this, we subtract one from both the sides of the above equation to get
$\begin{align}
  & \Rightarrow Q-1=2c+1-1 \\
 & \Rightarrow Q-1=2c \\
\end{align}$
Finally, on dividing both the sides of the above equation by two, we get
\[\begin{align}
  & \Rightarrow \dfrac{Q-1}{2}=\dfrac{2c}{2} \\
 & \Rightarrow \dfrac{Q-1}{2}=c \\
 & \Rightarrow c=\dfrac{Q-1}{2} \\
\end{align}\]

Hence we have solved the given equation for c and obtained the value of c to be equal to \[\dfrac{Q-1}{2}\].

Note: There may be some calculation errors while solving the equations of these types. Therefore, it is advised to check the final obtained solution by substituting it back into the given equation and confirm whether it satisfies the given equation or not.