Question

a)(\(\dfrac{3}{4}\)x-10,5):3=\(\dfrac{15}{8}\):80%

b)\(\dfrac{-2}{3}\)+\(\dfrac{1}{3}\)x=\(\dfrac{3}{5}\):\(\dfrac{3}{2}\)

c)(\(\dfrac{2}{9}\)-x):\(\dfrac{5}{6}\)=\(\dfrac{-4}{3}\)

d)(x+\(\dfrac{11}{2}\))-\(\dfrac{7}{3}\)-3=\(\dfrac{1}{2}\)

Answer 1

d)

<=>

\(\left(\dfrac{2x}{2}+\dfrac{11}{2}\right)=\dfrac{1}{2}+3+\dfrac{7}{3}=\dfrac{35}{6}\)

<=>

\(\dfrac{2x+11}{2}=\dfrac{35}{6}\)

<=>

\(\dfrac{3\left(2x+11\right)}{6}=\dfrac{35}{6}\)

=> \(6x+33-35=0\)

=> 6x = 0 + 35 - 33 = 2 

=> x = 2/6 = 1/3

Answer 2

`a)(3/4x-10,5):3=15/8:80%`

`(3/4x-21/2):3=15/8:4/5=75/32`

`3/4x-21/2=75/32xx3=225/32`

`3/4x=225/32+21/2=561/32`

`x=561/32:3/4=187/8`

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`b)[-2]/3+1/3x=3/5:3/2`

`[-2]/3+1/3x=2/5`

`1/3x=2/5+2/3=16/15`

`x=16/15:1/3=16/5`

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`c)(2/9-x):5/6=[-4]/3`

`2/9-x=[-4]/3xx5/6=[-10]/9`

`x=2/9-[-10]/9=4/3`

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`d)(x+11/2)-7/3-3=1/2`

`x+11/2=1/2+7/3+3`

`x+11/2=35/6`

`x=35/6-11/2`

`x=1/3`

Answer 3

`(3/4 x - 10,5) : 3 = 15/8 : 80%`

` (3/4 x - 10,5) : 3 = 15/8 xx 5/4`

`(3/4 x - 10,5) : 3 = 75/32`

`3/4x - 10,5 = 75/32 xx 3`

`3/4x - 10,5 = 225/2`

`3/4x = 225/32 + 10,5`

`3/4x= 561/32`

`x = 561/32 : 3/4`

`x=561/32 xx 4/3`

`x = 187/8`

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` (-2)/3 + 1/3x = 3/5 : 3/2`

` (-2)/3 + 1/3x = 3/5 xx 2/3`

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

`1/3x = 2/5 - (-2)/3`

`1/3x = 2/5 + 2/3`

`1/3x= 16/15`

`x = 16/15 : 1/3`

`x = 16/15 xx 3`

`x= 16/5`

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`(2/9-x) : 5/6 = (-4)/3`

`2/9 - x = (-4)/3 xx 5/6`

`2/9 - x= (-10)/9`

`x = 2/9 - (-10)/9`

`x = 2/9 + 10/9`

`x = 12/9`

`x=4/3`

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` (x + 11/2) - 7/3 - 3 = 1/2`

`x + 11/2 = 1/2 + 7/3 + 3`

`x + 11/2 = 35/6`

`x = 35/6 - 11/2`

`x = 1/3`

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