Question

How do you solve \[5n-6=39\]?

Answer 1

Hint: From the question, it is clear that we have to find the value of n in the equation \[5n-6=39\]. By simply doing some calculations, this equation can be solved and the value of n can be found.

Complete step-by-step solution:

From the question, we were given to solve \[5n-6=39\]. So, it is clear that we have to find the value of n in the given equation \[5n-6=39\].

Let us assume the given equation as equation (1).

\[5n-6=39.....(1)\].

Now let us add 6 on both sides of equation (1), then we get

\[ \Rightarrow 5n-6+6=39+6 \]

\[  \Rightarrow 5n=45 \]

Let us assume the given equation as equation (2), then we get

\[5n=45......(2)\]

Now, let us divide the equation (2) on both sides by 5, then we get

\[\Rightarrow \dfrac{5n}{5}=\dfrac{45}{9}\]

Let us assume this as equation (3).

\[\dfrac{5n}{5}=\dfrac{45}{9}.....(3)\]

Now let us solve the equation (3) to find the exact value of n as shown below:

\[\Rightarrow n=5\]

Let us assume this as equation (4),

\[n=5.....(4)\]

From equation (4), it is clear that the value of n is equal to 5. 

So, by solving \[5n-6=39\], we get that the value of n is equal to 5. 

Note: Students may do calculation mistakes while solving this problem. Calculation mistakes should be avoided while solving this problem, if a small mistake is done then the final answer will get interrupted. So, calculation mistake should be avoided and each and every step should be done in a careful manner to get a correct final answer.