Question

Check whether 9/5 is the solution of the equation 4x – 1 = 8.​

Answer 1

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

            Given data:- $4x-1=8.$

            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,

            $4x-1=8\\\Rightarrow 4x=8+1\\\Rightarrow 4x=9\\\Rightarrow x=\frac{9}{4} .$

      Hence we will get the value  $x=\frac{9}{4} .$

Answer 2

Given: The equation is  $4x-1 = 8.$

We have to check whether $\frac{9}{5}$ is the solution of 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,

=> $4x-1 = 8$

$=>4x=8+1\\=>4x=9\\\\=>x=\frac{9}{4}$

After solving the above equation we get the solution of the equation is$\frac{9}{4}$.

Hence, from the given statement that is$x=\frac{9}{5}$is not the solution of the given equation.