Substract 32x-54y-72z from 23x-32y-43z

23x+32y 43z (32x 54y 72z) =23x+32y 43z 32x+54y+72z =23x 32x+32y+54y+54y 43z =4 96x+12+108y+15 1612y = 56x+228y+ 112y ...

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Byju's Answer

Standard VII

Mathematics

Time and Work

Substract 3...

Question

Substract $\frac{3}{2} x - \frac{5}{4} y - \frac{7}{2} z$ from $\frac{2}{3} x + \frac{3}{2} y - \frac{4}{3} z$

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Solution

$\frac{2}{3} x + \frac{3}{2} y - \frac{4}{3} z - (\frac{3}{2} x - \frac{5}{4} y - \frac{7}{2} z)$

$= \frac{2}{3} x + \frac{3}{2} y - \frac{4}{3} z - \frac{3}{2} x + \frac{5}{4} y + \frac{7}{2} z$

$= \frac{2}{3} x - \frac{3}{2} x + \frac{3}{2} y + \frac{5}{4} y + \frac{5}{4} y - \frac{4}{3} z$

$= \frac{4 - 9}{6} x + \frac{12 + 10}{8} y + \frac{15 - 16}{12} y$

$= \frac{- 5}{6} x + \frac{22}{8} y + \frac{- 1}{12} y$

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Substract 32x−54y−72z from 23x+32y−43z

23x+32y−43z−(32x−54y−72z)=23x+32y−43z−32x+54y+72z=23x−32x+32y+54y+54y−43z=4−96x+12+108y+15−1612y=−56x+228y+−112y

Substract $\frac{3}{2} x - \frac{5}{4} y - \frac{7}{2} z$ from $\frac{2}{3} x + \frac{3}{2} y - \frac{4}{3} z$