Question

Solve $\dfrac{{3x}}{5} = 15$ for the value of $x$ .

Answer 1

Hint: In order to solve this question, as we can see that the question is related to the fractional equation, so first we will multiply the denominator of L.H.S with the numerator of R.H.S and vice versa and then solve for the $x$.

Complete step-by-step solution:
The given equation is: $\dfrac{{3x}}{5} = 15$ .
So, the given equation is a fractional equation in which we have to find the value of $x$ after solving it. First we can do the basic operation what we generally do with the fractional equation-
Firstly, we will multiply the denominator of L.H.S with the numerator of R.H.S and vice versa:
$ \therefore \dfrac{{3x}}{5} = \dfrac{{15}}{1} $
$ \Rightarrow 3x \times 1 = 15 \times 5 $
$ \Rightarrow 3x = 75 $
Now, we will divide the constant value to the R.H.S, solve for $x$ -
$\Rightarrow x = \dfrac{{75}}{3}$
$ \Rightarrow x = 25 $
Hence, the value of $x$ is 25.

Note: As an alternative approach we can solve the problem following as:
 Step 1: Find the least common denominator.
Step 2: Multiply the least common denominator.
Step 3: Simplify the equation.
Step 4: Simplify until there's one term on both sides.
Step 5: Divide the coefficient on both sides.