Question

3x−1/5 - x/15 =3
the result is showing
x = 6
can somebody explain how ?

Answer 1

Step-by-step explanation:

5

3x−1/5 =3

x/15

3(3x−1)−x=3

15

9x−3−x

=3

=>8x−3=15×3

=>8x−3=45

=>8x=45+3

=>8x=48

=>x=

8

48

=>x=6ans.

Thank you

Answer 2

To find : value of $x$

Given : $\frac{3x-1}{5}-\frac{x}{15} = 3$

Solution :

• Here, we will use the below following steps to find a solution using the transposition method:

1. We will Identify the variables and constants in the given equation.
2. Then we differentiate the equation as LHS and RHS.
3. We take constants at RHS leaving variable at LHS.  
4. Simplify the equation using arithmetic operation as required to find the value of $x$.
5. Then the result will be the solution for the given equation. By using the transposition method. we get,

• We take LCM of both terms to perform required arithmetic operation .

• $\frac{3x-1}{5}-\frac{x}{15} = 3$

        $\Rightarrow \frac{3(3x-1 )}{15} -\frac{x}{15} = 3 \\\\\Rightarrow \frac{9x-3-x}{15} = 3 \\\\\Rightarrow \frac{8x-3}{15} = 3 \\\\ \Rightarrow 8x -3 = 45 \\\\\Rightarrow 8x = 48 \\\\\Rightarrow x = \frac{48}{8} \\\\\Rightarrow x = 6$

Hence, value of $x$ is $6$ .Therefore as per given data result obtained is correct .