Question

How do you solve $3n+8=29$?

Answer 1

Hint: The degree of the given equation is one it means the given equation is a linear equation in one variable. To solve the linear equation we need to shift the constant terms to the right side and keep the variable terms to the left side of the equation. By simplifying the algebraic operations we get the desired answer.

Complete step-by-step solution:
We have been given an equation $3n+8=29$.
We have to solve the given equation.
Now, we know that the degree of an equation is defined by its highest power. Here the highest power of the equation is one so it is a linear equation in one variable. It has only one solution.
To solve a linear equation we have to shift the constant terms at the right side then we will get
$\Rightarrow 3n=29-8$
Now, simplifying the above obtained equation we will get
$\Rightarrow 3n=21$
Now, dividing the above equation by 3 we will get
$\Rightarrow \dfrac{3n}{3}=\dfrac{21}{3}$
Now, simplifying the above obtained equation we will get
$\Rightarrow n=7$
Hence on solving the equation we get the value of n as 7.

Note: We can verify the obtained value by substituting it to the original equation. Here in this question we get the value of n as 7. Now, substituting the value we will get the LHS of the equation as
$\Rightarrow 3\times 7+8=29$
Now, simplifying the above obtained equation we will get
$\begin{align}
  & \Rightarrow 21+8=29 \\
 & \Rightarrow 29=29 \\
\end{align}$
Hence we get LHS=RHS
The obtained solution is correct.