Question

Answer 1

`x=1/5=2/5`

`x=2/5 xx 15`

`x=30/5`

`x=6`

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`(6+x)/33 = 7/11`

`6+x=7/11 xx 33`

`6+x=21`

`x=21-6`

`x=15`

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`3/(x-7) = 27/135`

`x-7=3 : 27/135`

`x-7=3 xx 135/27`

`x-7=3 xx 5`

`x-7=15`

`x=15+7`

`x=22`

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`(12-x)/(28+x)=1/3`

` 3.(12-x) = 1.(28+x)`

`36-3x = 28 + x`

`3x+x=36-28`

`(3+1)x = 8`

`4x=8`

`x=8:2`

`x=2`

Answer 2

`a)x/15=2/5`

`=>x/15=6/15`

`=>x=6`

`b)`{6+x}/33=7/11`

`=>{6+x}/33=21/33`

`=>6+x=21`

`=>x=15`

`c)3/{x-7}=27/135` \(;x\ne7\)

`=>27/{9xx(x-7)}=27/135`

`=>9xx(x-7)=135`

`=>9x-63=135`

`=>9x=198`

`=>x=22`

`d)`\(\dfrac{12-x}{28+x}=\dfrac{1}{3}\); \(x\ne-28\)

\(\Rightarrow3\left(12-x\right)=28+x\)

\(\Rightarrow36-3x=28+x\)

\(\Rightarrow4x=8\)

`=>x=2`