Question

Solve the folowing equation: 2x/3-3x/5=8​

Answer 1

• As per the data given in the question, we have to find the value of the expression.

           Given data:- $\frac{2x}{3} -\frac{3x}{5} =8.$

           To find:- Value of the expression.

           Solution:-

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

• Step 1:- we will Identify the variables and constants in the given simple equation.

• Step 2:-then we Simplify the equation in LHS and RHS.

• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.

• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.

• Step 5:- Then the result will be the solution for the given linear equation. By using the transposition method. we get,

        $\Rightarrow \frac{2x}{3} -\frac{3x}{5} =8\\\Rightarrow \frac{2 x}{3}-\frac{3 x}{5}=8 \\\Rightarrow \frac{2}{3} x+\frac{-3}{5} x=8 \\\Rightarrow \left(\frac{2}{3} x+\frac{-3}{5} x\right)=8\frac{1}{15} x=8 \\\Rightarrow \frac{1}{15} x=8$

    Now multiplay both side by $15.$

       $\begin{array}{l}\Rightarrow 15 *\left(\frac{1}{15} x\right)=(15) *(8) \\\Rightarrow x=120.\end{array}$

  Hence we will get the value $x=120.$