Question

How do you solve \[3n+8=17\]?

Answer 1

Hint: In this problem, we have to solve the given equation and find the value of n. we can first subtract the number 8 on both the left-hand side and the right-hand side of the equation and we can cancel the similar terms with opposite signs on the left-hand side and simplify the right-hand side. We can then divide the resulted equation by 3, to get the value of n.

Complete step-by-step solution:
We know that the given equation to be solved is,
\[3n+8=17\]
We can now subtract the number 8 on both the sides of the equation and we can cancel the similar terms with opposite sign in the left-hand side and simplify the right-hand side, we get
\[\begin{align}
  & \Rightarrow 3n+8-8=17-8 \\
 & \Rightarrow 3n=9 \\
\end{align}\]
Now we can divide the above equation by 3 on both the left-hand side and the right-hand side of the equation, to get the value of n.
\[\Rightarrow \dfrac{3n}{3}=\dfrac{9}{3}\]
Now we can simplify the above term by cancelling the similar terms in the left-hand side and use multiplication table to cancel in right-hand side, we get
\[\Rightarrow n=3\]
Therefore, the value of n = 3.

Note: Students make mistakes while adding/subtracting the numbers on both the left-hand side and the right-hand side of the equation in order to simplify by cancelling similar terms. We should also know the multiplication table to cancel the terms and to get the value of x. we can also substitute the resulted value in the given equation to check for the correct answer,
when n = 3, then the equation becomes 9+8=17, therefore the answer is correct.