Question

2/3(x+3/5)=7/2

solve step by step

Answer 1

Answer:

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Answer 2

• We have to evaluate the above expression by using the given data.

              Given data:- $\frac{2}{3}(x+\frac{3}{5} )=\frac{7}{2} .$

              To find:- Value of the expression.

              Solution:-  

• Here we will use the transposition method.

• Transposition is one of the linear equations.

• To solve the transposition method we wi.ll Identify the variables and constants.

• Then we Simplify the equation in LHS and RHS.  

       $\frac{2}{3}\left(x+\frac{3}{5}\right)=\frac{7}{2} \\\\\frac{2\left(x+\frac{3}{5}\right)}{3}=\frac{7}{2}\\\\\frac{2 x+\frac{6}{5}}{3}=\frac{7}{2} \\\\3 \times \frac{2 x+\frac{6}{5}}{3}=3 \times \frac{7}{2}\\\\2 x+\frac{6}{5}=3 \times\frac{7}{2} \\\\2 x+\frac{6}{5}=\frac{21}{2}\\\\2 x=\frac{21}{2}-\frac{6}{5}\\\\2 x=\frac{93}{10}\\\\x=\frac{93}{20} .$

     Hence we will get the value $x=\frac{93}{20} .$