Question

$verify\:\: x = \frac{3}{4} \: \: y = \frac{5}{6} \: \: z = \frac{ - 7}{8}$​

Answer 1

$x = (y + z) = (x + y) + z \\ \\ x = (y + z) = \frac{3}{4} + ( \frac{5}{6} + \frac{ - 7}{8} ) \\ \\ = \frac{3}{4} + ( \frac{20 + ( - 21)}{24} ) \\ \\ = \frac{3}{4} + ( \frac{ - 1}{24} ) \\ \\ = \frac{3}{4} + \frac{ - 1}{24} \\ \\ = \frac{18 + ( - 1)}{24} \\ \\ = \frac{17}{24} \\ \\ (x + y ) + z = ( \frac{3}{4} + \frac{5}{6} ) + \frac{ - 7}{8} \\ \\ = ( \frac{9 + 10}{12} ) + \frac{ - 7}{8} \\ \\ = \frac{19}{12} + \frac{ - 7}{8} \\ \\ = \frac{38 + ( - 21)}{24} \\ \\ = \frac{38 - 21}{24} \\ \\ = \frac{17}{24} \\ \\ x + (y + z) = (x + y) + z$

Verified

Answer 2

Answer:

$\begin{gathered}[tex]x = (y + z) = (x + y) + z \\ \\ x = (y + z) = \frac{3}{4} + ( \frac{5}{6} + \frac{ - 7}{8} ) \\ \\ = \frac{3}{4} + ( \frac{20 + ( - 21)}{24} ) \\ \\ = \frac{3}{4} + ( \frac{ - 1}{24} ) \\ \\ = \frac{3}{4} + \frac{ - 1}{24} \\ \\ = \frac{18 + ( - 1)}{24} \\ \\ = \frac{17}{24} \\ \\ (x + y ) + z = ( \frac{3}{4} + \frac{5}{6} ) + \frac{ - 7}{8} \\ \\ = ( \frac{9 + 10}{12} ) + \frac{ - 7}{8} \\ \\ = \frac{19}{12} + \frac{ - 7}{8} \\ \\ = \frac{38 + ( - 21)}{24} \\ \\ = \frac{38 - 21}{24} \\ \\ = \frac{17}{24} \\ \\ x + (y + z) = (x + y) + z \\ \\\end{gathered}$

$x=(y+z)=(x+y)+z</p><p>x=(y+z)= </p><p>4</p><p>3</p><p> </p><p> +( </p><p>6</p><p>5</p><p> </p><p> + </p><p>8</p><p>−7</p><p> </p><p> )</p><p>= </p><p>4</p><p>3</p><p> </p><p> +( </p><p>24</p><p>20+(−21)</p><p> </p><p> )</p><p>= </p><p>4</p><p>3</p><p> </p><p> +( </p><p>24</p><p>−1</p><p> </p><p> )</p><p>= </p><p>4</p><p>3</p><p> </p><p> + </p><p>24</p><p>−1</p><p> </p><p> </p><p>= </p><p>24</p><p>18+(−1)</p><p> </p><p> </p><p>= </p><p>24</p><p>17</p><p> </p><p> </p><p>(x+y)+z=( </p><p>4</p><p>3</p><p> </p><p> + </p><p>6</p><p>5</p><p> </p><p> )+ </p><p>8</p><p>−7</p><p> </p><p> </p><p>=( </p><p>12</p><p>9+10</p><p> </p><p> )+ </p><p>8</p><p>−7</p><p> </p><p> </p><p>= </p><p>12</p><p>19</p><p> </p><p> + </p><p>8</p><p>−7</p><p> </p><p> </p><p>= </p><p>24</p><p>38+(−21)</p><p> </p><p> </p><p>= </p><p>24</p><p>38−21</p><p> </p><p> </p><p>= </p><p>24</p><p>17</p><p> </p><p> </p><p>x+(y+z)=(x+y)+z</p><p> </p><p> </p><p></p><p>verified$