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Đáp án:
$1) \dfrac{x}{6} = \dfrac{8}{3}$
$ ⇒ x = \dfrac{6.8}{3}$
$⇒ x = 16$
$2)\dfrac{x}{6} = \dfrac{7}{4}$
$⇒x = \dfrac{6.7}{4}$
$⇒x = 10,5$
$3) \dfrac{x}{3} = \dfrac{5}{24}$
$⇒ x = \dfrac{3.5}{24}$
$⇒ x = 0,625$
$4)\dfrac{3}{x} = \dfrac{21}{17}$
$⇒ x= \dfrac{3.17}{21}$
$⇒ x = \dfrac{17}{7}$
$5)\dfrac{125}{x} = \dfrac{25}{3}$
$⇒ x = \dfrac{125.3}{25}$
$⇒ x= 15$
$6) \dfrac{-3}{x} = \dfrac{15}{7}$
$⇒ x = \dfrac{-3.7}{15}$
$⇒ x= -1,4$
$7)\dfrac{0,1}{5} = \dfrac{x}{15}$
$⇒x = \dfrac{15.0,1}{5}$
$⇒x = 0,3$
$8)\dfrac{-4}{1,2} = \dfrac{x}{-3,6}$
$⇒ x = \dfrac{-3,6 . (-4)}{1,2}$
$⇒ x = 12$
$9) \dfrac{-2,6}{12} = \dfrac{x}{-42}$
$⇒ x = \dfrac{-42 . (-2,6)}{12}$
$⇒ x = 9,1$
$10) \dfrac{21}{14} = \dfrac{33}{x}$
$⇒ x = \dfrac{33.14}{21}$
$⇒ x= 22$
$11) \dfrac{1,4}{-5} = \dfrac{2,1}{x}$
$⇒ x= \dfrac{2,1 . (-5)}{1,4}$
$⇒ x= -7,5$
$12) \dfrac{0,12}{3} = \dfrac{0,21}{x}$
$⇒ x = \dfrac{0,21.3}{0,12}$
$⇒ x = 5,25$
$13) \dfrac{x-2}{3} = \dfrac{4}{5}$
$⇒ \dfrac{5(x-2)}{15}$ = \dfrac{12}{15}$
$⇒ 5(x-2)= 12$
$⇒ 5x -10 = 12$
$ ⇒ 5x = 22$
$⇒ x = \dfrac{22}{5}$
$14) \dfrac{x+3}{-4} = \dfrac{5}{20}$
$⇒ \dfrac{-5(x+3)}{20} = \dfrac{5}{20}$
$⇒ -5(x+3) = 5$
$⇒ -5x -15 =5$
$⇒ -5x = 20$
$⇒ x = 20 : (-5)$
$⇒ x = -4$
$15) \dfrac{3}{x-1} =\dfrac{21}{16}$
ĐKXĐ : x $\neq$ 1
$⇒ \dfrac{48}{16(x-1)} = \dfrac{21(x-1)}{16(x-1)}$
$⇒ 48 = 21(x-1)$
$⇒ 48 = 21x -21$
$⇒ -21x= -21 -48$
$ ⇒ -21x = -69$
$⇒ x = -69 : (-21)$
$⇒ x = \dfrac{23}{7}$(thỏa mãn)
16 ) \dfrac{52}{2x-1} = \dfrac{13}{30}$
ĐKXĐ : x $\neq$ $\dfrac{1}{2}$
$⇒ \dfrac{1560}{30(2x-1)} = \dfrac{13(2x-1)}{30(2x-1)}$
$⇒ 1560 = 13(2x-1)$
$⇒ 1560 = 26x -13$
$⇒ -26x = -13 - 1560$
$⇒ -26x = -1573$
$⇒ x = -1573 : (-26)$
$⇒ x = 60,5$(thỏa mãn)
Hãy giúp mọi người biết câu trả lời này thế nào?
$1$) $\dfrac{x}{6} = \dfrac{8}{3}$
$⇔ x = 48 : 3$
$⇔ x = 16$
Vậy $x=16$
$2$) $\dfrac{x}{6} = \dfrac{7}{4}$
$⇔ x = 42 : 4$
$⇔ x = 10,5$
Vậy $x=10,5$
$3$) $\dfrac{x}{3} = \dfrac{5}{24}$
$⇔ x = 15 : 24$
$⇔ x = 0,625$
Vậy $x=0,625$
$4$) `3/x = 21/17`
`⇔ x = 51 :21`
`⇔ x = 17/7`
Vậy `x=17/7`
$5$) `125/x = 25/3`
`⇔ x = 15`
Vậy `x=15`
$6$) `-3/x = 15/7`
`⇔ x = -21/15`
`⇔ x = -1,4`
Vậy `x=-1,4`
$7$) $\dfrac{0,1}{5} = \dfrac{x}{15}$
`⇔ 1,5 = 5x`
`⇔ x = 0,3`
Vậy $x=0,3$
$8$) $\dfrac{-4}{1,2} = \dfrac{x}{-3,6}$
$⇔ -4.(-3,6) = 1,2x$
$⇔ 14,4 = 1,2x$
$⇔ x = 12$
Vậy $x=12$
$9$) $\dfrac{-2,6}{12} = \dfrac{x}{-42}$
$⇔ -2,6 . (-42) = 12x$
$⇔ 109,2 = 12x$
$⇔ x = 9,1$
Vậy $x=9,1$
$10$) `21/14 = 33/x`
`⇔ x = 462 : 21`
`⇔ x = 22`
Vậy `x=22`
$11$) $\dfrac{1,4}{-5} = \dfrac{2,1}{x}$
$⇔ 1,4x = -10,5$
$⇔ x = -7,5$
Vậy $x = -7,5$
$12$) $\dfrac{0,12}{3} = \dfrac{0,21}{x}$
$⇔ 0,12x = 0,63$
$⇔ x = 5,25$
Vậy $x=5,25$
$13$) `{x-2}/3 = 4/5`
`⇔ 5x - 10 = 12`
`⇔ 5x = 22`
`⇔ x = 4,4`
Vậy `x=4,4`
$14$) $\dfrac{x+3}{-4} = \dfrac{5}{20}$
$⇔ 20x + 60 = -20$
$⇔ 20x = -80$
$⇔ x = -4$
Vậy $x=-4$
$15$) `3/{x-1} = 21/16`
`⇔ x-1 = 48 : 21`
`⇔ x-1 = 16/7`
`⇔ x = 23/7`
Vậy `x=23/7`
$16$) $\dfrac{52}{2x-1} = \dfrac{13}{30}$
$⇔ \dfrac{52}{2x-1} = \dfrac{52}{120}$
$⇔ 2x-1 = 120$
$⇔ x = 60,5$
Vậy $x=60,5$
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