Question

x/2 + x/5 = 11 find x

Answer 1

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

           Given data:- $\frac{x}{2} +\frac{x}{5} =11.$

           To find:- Value of $x.$

           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.
• Step2 -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,

            $\frac{x}{2} +\frac{x}{5} =11\\\frac{5x+2x}{5\times2} =11\\\frac{7x}{10} =11\\7x=11\times10\\x=\frac{110}{7} .$

    Hence we will get the value of $x=\frac{110}{7} .$

Answer 2

Given: The equation$\frac{x}{2} +\frac{x}{5} =11$.

We have to find the value of $x.$

For this, we are cross multiplying the given fractions and then solving the equation.

We are solving in the following way:

We have, $\frac{x}{2} +\frac{x}{5} =11$

Now,

=> $\frac{x}{2} +\frac{x}{5} =11$

$\\=>\frac{5\times x+x \times2}{5\times2} \\\\=>\frac{5x+2x}{10}=11\\\\=>7x=11\times10\\=>7x=110\\\\=>x=\frac{110}{7} \\\\=>x=15.714$

Hence, the value of$x$ will be $x=15.714$