Question

Answer 1

a)

`x-2/3=-1/6`

`=>x=-1/6+2/3`

`=>x=-1/6+4/6`

`=>x=3/6=1/2`

b)

`(x+5)/7=10/(-35)`

`=>(x+5)/7=(-10)/35`

`=>(x+5)/7=-2/7`

`=>x+5=-2`

`=>x=-7`

c)

`2/x=x/8`

`=>x*x=2*8`

`=>x^2=16`

\(=>\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\)

d)

`(x-3)/2=32/(x-3)` \(\left(x\ne3\right)\)

`=>(x-3)(x-3)=32*2`

`=>(x-3)^2=64`

\(=>\left[{}\begin{matrix}x-3=8\\x-3=-8\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=11\left(tm\right)\\x=-5\left(tm\right)\end{matrix}\right.\)