Math, asked by shreyasinha216752, 11 months ago

4. Verify x + (y + z) = (x + y) + z for x=-3/5 y=-7/10 z=-8/15

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Answered by Anonymous
14

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solution:  \\  \\ LHS \\ RHS \\  \\ \implies x  + (y +z ) \\  \\ \implies (x  +  y  ) + z \\  \\  \implies \:   \frac{-3}{ \:   \:  5}  +  ( \frac{ - 7}{10}   - \frac{8}{15} ) \\  \\  \implies( \frac{ - 3}{5}  -  \frac{7}{10} )  \:  -  \frac{8}{15}  \\  \\   \implies \frac{ - 3}{ 5}  \: ( \frac{ - 21 - 16}{15} ) \\  \\  \implies \:  (\frac{ - 6 - 7}{10} ) \:  -  \frac{8}{15}  \\  \\  \implies \:  \frac{ - 3}{5}  -  \frac{37}{30}  \\  \\  \implies \:  \frac{ - 3}{10}  -  \frac{8}{15}  \\  \\  \implies \:  \frac{ - 18 - 37}{30}  \\  \\  \implies \:  \frac{ - 39 - 16}{30}  \\  \\  \implies \:  \frac{ - 55}{30}  \\  \\ Hence,  \:  \: \: x + (y + z) = (x + y) + z \\  \\  =  \frac{ - 55}{30}

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