Math, asked by ans9871, 8 months ago

x-5/2-x-3/5=1/2
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Answers

Answered by Chhayatyagi
0

Answer:

 \frac{x - 5}{2} -  \frac{x - 3}{5} =  \frac{1}{2}    \\  \frac{5x - 25 - 2x - 6}{10}  =  \frac{1}{2}  \\  \frac{3x - 31}{10}  =  \frac{1}{2}  \\ 3x - 31 =  \frac{1}{2}  \times  \frac{10}{1}  \\ 3x - 31 = 5 \\ 3x = 5 + 31 \\ 3x = 36 \\ x =  \frac{36}{3} \\ x = 12

 \red{ \bold{Prove:  - }}  \\ \\  \frac{x - 5}{2}  -  \frac{x - 3}{5}  =  \frac{1}{2} \\  \frac{12 - 5}{2} -  \frac{12 - 3}{5} =  \frac{1}{2}  \\  \frac{60 - 25 - 24 - 6}{10}  =  \frac{1}{2} \\  \frac{60 - 55}{10}  = \frac{1}{2}  \\  \frac{5}{10} =  \frac{1}{2}  \\  \frac{1}{2} =  \frac{1}{2} \\  \\  \blue{ \bold{</strong><strong>T</strong><strong>his \: is \: the \: first \: method}}

 \purple{ \bold{Second \: method}} \\  \\  \frac{x - 5}{2} - \frac{x - 3}{5}  =  \frac{1}{2}   \\  \frac{5x - 25 - 2x - 6}{10} =  \frac{1}{2} \\  \frac{3x - 31}{10}    =  \frac{1}{2}  \\  \frac{3x - 31}{10}  \times  \frac{1}{2}  \\ 2(3x - 31) =  1(10) \\ 6x - 62 = 10 \\ 6x = 10 + 62 \\ 6x = 72 \\ x =  \frac{72}{6} \\ x = 12

You can apply both of the methods but the answer will be same and if you put the value that we have obtained by second method for proving then the same method will be used and same answer will come....

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