Math, asked by kavitamahendarkar, 10 hours ago

50-x=3(20-x)
Solve this equation. Do anybody have the capability to do it by explaining step by step clearly. If yes, then do it and show.​

Answers

Answered by Anonymous
17

Given :-

 \quad \dag \quad \sf 50 - x = 3 ( 20 - x )

To Find :-

Value of 'x'

Solution :-

We knows that ;

  • a ( b  \pm c ) = a × b  \pm a × c

Using this we have ;

 { : \implies \quad  \sf 50 - x = 3 \times 20 - 3 \times \bf x }

 { : \implies \quad \sf 50 - x = 60 - 3x }

 { : \implies \quad \sf - x + 3x = 60 - 50 }

 { : \implies \quad \sf 2x = 10 }

 { : \implies \quad \sf x = \cfrac{10}{2}}

 { : \implies \quad \sf x = \cancel{\dfrac{10}{2}}}

 { : \implies \quad \bf \blue \therefore \quad \red x \green = \orange 5 }

Henceforth , The Required Answer Is ' 5 ' :)

Answered by niteshrajputs995
1
  • As per the data given in the question, we have to find the value of expression.
  • Given data:-50-x=3(20-x).

        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,

           \Rightarrow 50-x=3(20-x)\\\Rightarrow 50-x=60-3x\\\Rightarrow -x+3x=60-50\\\Rightarrow 2x=10\\\Rightarrow x=5.

     Hence, the value will be 5.

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