Math, asked by rabiyath1, 1 year ago

x-3/4+x-1/5-(x-2)/3=1

Answers

Answered by souravsarkar045
3
I hope u understand. thank you
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Answered by Anonymous
1

GIVEN :-

\rm{ \dfrac{x - 3}{4} + \dfrac{x - 1}{5} - \dfrac{x - 2}{3} = 1 }

TO FIND :-

value of x in

\rm{ \dfrac{x - 3}{4} + \dfrac{x - 1}{5} - \dfrac{x - 2}{3} = 1 }

SOLUTION :-

 \implies \rm{ \dfrac{x - 3}{4} + \dfrac{x - 1}{5} = 1 + \dfrac{x - 2}{3} }

Taking LCM in both LHS and RHS

\implies \rm{ \dfrac{5x - 15 + 4x - 4}{20} = \dfrac{3 + x - 2}{3} }

\implies\rm{ \dfrac{9x - 19}{20} = \dfrac{x + 1}{3} }

now by Cross multiplying

\implies \rm{3(9x - 19) = 20(x + 1)}

\implies \rm{27x - 57 = 20x + 20}

\implies \rm{27x - 20x = 20 + 57}

\implies \rm{7x = 77}

 \implies \boxed{ \boxed{ \rm{x = 11}}}

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