Question

How do you solve for $n$ in $2 = \dfrac{n}{3}$?

Answer 1

Hint:A linear equation is an equation for a straight line. The term which is involved in a linear equation is either a constant or a single variable or product of a constant. The two variables can never be multiplied. All linear equations have a line graph. Linear equations are the same as linear function. The general form of writing a linear equation is $y = mx + c$ and $m$ is not equal to zero, where $m$ is the slope and $c$ is the point on which it cuts the y-axis.$y = mx + c$ is also known as equation of the line in slope-intercept form. This given question deals with a specific type of linear equation and that is, one step equations and inverse operations.

Complete step by step solution:
Given is $2 = \dfrac{n}{3}$
We have to find the value of $n$ for which the left-hand side and right-hand side of the equation are equal.
In order to simplify for the value of $n$ in the given equation, we first take $3$ from the denominator of the right-hand side equation to multiply with $2$ on the left-hand side of the equation, we get,
$
\Rightarrow 2 \times 3 = n \\
\Rightarrow 6 = n \\
$
Hence, the value of $n$ is $6$.

Note: Now that we know the value of$n$ is $6$, there is a way to double check our answer. In order to double check the solution we are supposed to substitute the value of $n$ which we got as $6$ in the given equation, $2 = \dfrac{n}{3}$
$
\Rightarrow 2 = \dfrac{n}{3} \\
\Rightarrow 2 = \dfrac{6}{3} \\
\Rightarrow 2 = 2 \\
$
Now, the left-hand side is equal to the right-hand side of the equation. So, we can conclude that our solution or the value of $n$ which we calculated was correct.