Question

solve the following equation
2x/ 3 + 5 / 2 = 4​

Answer 1

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

       Given data:-$\frac{2x}{3}+\frac{5}{2}=4.$

       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,

      Therefore,

        $\Rightarrow \frac{2x}{3}+\frac{5}{2}=4\\\Rightarrow \frac{4x+15}{6}=4.\\\Rightarrow 4x=24-15\\\Rightarrow 4x=9\\\Rightarrow x=\frac{9}{4}.$

  Hence, the value will be $\frac{9}{4}.$

   

Answer 2

Given: The equation is$2x/ 3 + 5 / 2 = 4$.

We have to solve the above equation.

• For this first, we will Identify the variables and constants in the given equation.
• And then we Simplify the equation in LHS and RHS.
• Then we will transpose or shift the term on the other side to solve the equation further simplest.
• After that, we will Simplify the equation using arithmetic operation as required that is mentioned in the above rule of the linear equations.
• Then the result will be the solution for the given linear equation.

Now by using the transposition method:

We have,

The equation is$2x/ 3 + 5 / 2 = 4$

$\begin{array}{l}\Rightarrow \frac{2 x}{3}+\frac{5}{2}=4 \\\\\Rightarrow \frac{4 x+15}{6}=4 . \\\\\Rightarrow 4 x=24-15 \\\\\Rightarrow 4 x=9 \\\\\Rightarrow x=\frac{9}{4} .\end{array}$

Hence, the solution of the equation will be$\frac{9}{4} \ or\ 2.25$.