Question

x/2 - x/3 = x/4 + 1/2 solve and verify your anwers​

Answer 1

Answer:

x= -6 ans

Step-by-step explanation:

x/2 - x/3 = x/4 + 1/2

3x - 2x

-------------- = x/4 + 1/2

6

x/6 = x/4 + 1/2

x/6 - x/4 = 1/2

2x - 3x

---------- = 1/2

12

- x/ 12 = 1/2

-x = 1/2*12

-x = 6

x = -6 answer.

hope you understand.

Answer 2

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

       Given data:- $\frac{x}{2}-\frac{x}{3}=\frac{x}{4}+\frac{1}{2}$

       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 will 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,

          $\Rightarrow \frac{x}{2}-\frac{x}{3}=\frac{x}{4}+\frac{1}{2}\\\Rightarrow \frac{x\times3-x\times2}{6}=\frac{x\times2+1\times4}{8}\\\Rightarrow \frac{3x-2x}{6}=\frac{2x+4}{8}\\\Rightarrow \frac{x}{6}=\frac{2x+4}{8}\\\Rightarrow 8x=6(2x+4)\\\Rightarrow 8x=12x+24\\\Rightarrow 8x-12x=24\\\Rightarrow -4x=24\\\Rightarrow x=-6.$

      Hence, the value will be $-6.$