Question

Find the value of x, if: 5x = (30)² – (20)²​

Answer 1

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

           Given data:- $5x=(30)^{2} -(20)^{2} .$

           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,

              $5x=(30)^{2} -(20)^{2} \\5x=900-400\\5x=500\\x=100.$

       Hence we will get the value $x=100.$

Answer 2

Given data,

The given equation is $5x=(30)^{2} -(20)^{2}$

Here we have to find the value of $x$

In order to find the value of $x$ we have to simplify the given equation.

As we know

$30^{2} =900$ and $20^{2} =400$

Substitute these values in the given equation.

We get,

$5x=900-400$

$5x=500$

Transpose $5$ from LHS to RHS we get,

$x=\frac{500}{5}$

Here $500$ can be written as $5\times100$

$x=\frac{5\times100}{5}$

$x=100$

Therefore, the value of $x$ is $100$.