Đáp án:
$\\$
`a,`
`(x-1)/(x+5) = 6/7`
`-> (x-1) . 7 = (x+5) . 6`
`-> 7x - 7 = 6x + 30`
`-> 7x - 6x = 7+30`
`->x=37`
Vậy `x=37`
`b,`
`x^2/6 = 24/25`
`->x^2= 6 . 24/25`
`->x^2 = 144/25`
`->` \(\left[ \begin{array}{l}x^2=(\dfrac{12}{5})^2\\x^2=(\dfrac{-12}{5})^2\end{array} \right.\) `->` \(\left[ \begin{array}{l}x=\dfrac{12}{5}\\x=\dfrac{-12}{5}\end{array} \right.\)
Vậy `x=12/5` hoặc `x=(-12)/5`
`c,`
`(x-2)/(x+3) = 3/4`
`-> (x-2) . 4 = (x+3) . 3`
`->4x - 8 = 3x + 9`
`-> 4x - 3x = 8 +9`
`->x=17`
Vậy `x=17`
`d,`
`-1,04 : x = -18,72 : 16,38`
`-> -1,04 : x=(-8)/7`
`->x=-1,04 : (-8)/7`
`->x=91/100`
Vậy `x=91/100`
`e,`
$\dfrac{3,22}{x}=\dfrac{4 \dfrac{1}{3} }{8 \dfrac{1}{4} }$
$→ \dfrac{3,22}{x}=\dfrac{\dfrac{13}{3} }{\dfrac{33}{4} }$
$→ \dfrac{3,22}{x}=\dfrac{13}{3} : \dfrac{33}{4}$
$→ \dfrac{3,22}{x}=\dfrac{52}{99}$
$→ 3,22 = \dfrac{52}{99} . x$
$→ x=3,22 : \dfrac{52}{99}$
$→x=\dfrac{15939}{2600}$
Vậy `x=15939/2600`
