Đại số lớp 6

LF

Tìm x, biết:

a) 0,5x - \(\dfrac{2}{3}\)x = \(\dfrac{7}{12}\)

b) x : 4\(\dfrac{1}{3}\) = -2,5

c) 5,5x = \(\dfrac{13}{15}\)

d) (\(\dfrac{3x}{7}\)+ 1) : (-4) = \(\dfrac{-1}{28}\)

H24
2 tháng 4 2017 lúc 11:16

a) \(0,5x-\dfrac{2}{3}x=\dfrac{7}{12}\)

\(\dfrac{1}{2}x-\dfrac{2}{3}x=\dfrac{7}{12}\)

\(\left(\dfrac{1}{2}-\dfrac{2}{3}\right)x=\dfrac{7}{12}\)

\(\dfrac{-1}{6}x=\dfrac{7}{12}\)

\(x=\dfrac{7}{12}:\dfrac{-1}{6}\)

\(x=\dfrac{-7}{2}\)

b) \(x:4\dfrac{1}{3}=-2,5\)

\(x:\dfrac{13}{3}=\dfrac{-5}{2}\)

\(x=\dfrac{13}{3}.\dfrac{-5}{2}\)

\(x=\dfrac{-65}{6}\)

c) \(5,5x=\dfrac{13}{15}\)

\(\dfrac{11}{2}x=\dfrac{13}{15}\)

\(x=\dfrac{13}{15}:\dfrac{11}{2}\)

\(x=\dfrac{26}{165}\)

d) \(\left(\dfrac{3x}{7}+1\right):\left(-4\right)=\dfrac{-1}{28}\)

\(\left(\dfrac{3x}{7}+1\right)=\dfrac{-1}{28}.\left(-4\right)\)

\(\dfrac{3x}{7}+1=\dfrac{1}{7}\)

\(\dfrac{3x}{7}=\dfrac{1}{7}-1\)

\(\dfrac{3x}{7}=\dfrac{-6}{7}\)

\(\Rightarrow3x=-6\\ x=\left(-6\right):3\\ x=-2\)

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H24
2 tháng 4 2017 lúc 11:27

câu d mình nhầm bạn nha

d)\(\left(\dfrac{3x}{7}+1\right):\left(-4\right)=\dfrac{-1}{28}\)

\(\dfrac{3x}{7}+1=\dfrac{-1}{28}.\left(-4\right)\)

\(\left(\dfrac{3x}{7}+1\right)=\dfrac{1}{7}\)

\(\dfrac{3x}{7}=\dfrac{1}{7}-1\)

\(\dfrac{3x}{7}=\dfrac{-6}{7}\)

Ta có : 3x =-6

x = -6:3

x=-2

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H24
2 tháng 4 2017 lúc 11:20

a) 0,5x-\(\dfrac{2}{3}x=\dfrac{7}{12}\)

x\(\left(\dfrac{1}{2}-\dfrac{2}{3}\right)=\dfrac{7}{12}\)

\(\dfrac{-1}{6}x=\dfrac{7}{12}\)

x = \(\dfrac{7}{12}:\dfrac{-1}{6}\)

x =\(\dfrac{-7}{2}\)

b)\(x:4\dfrac{1}{3}=-2,5\)

\(x:\dfrac{13}{3}=\dfrac{-25}{10}\)

\(x=\dfrac{-5}{2}:\dfrac{13}{3}\)

\(x=\dfrac{-15}{26}\)

c)5,5\(x\)=\(\dfrac{13}{15}\)

\(\dfrac{11}{2}\)\(x\)=\(\dfrac{13}{15}\)

\(x=\dfrac{13}{15}:\dfrac{11}{2}\)

\(x=\dfrac{26}{165}\)

d)\(\left(\dfrac{3x}{7}+1\right):\left(-4\right)=\dfrac{-1}{28}\)

\(\dfrac{3x}{7}+1\)=\(\dfrac{-1}{28}:\left(-4\right)\)

\(\left(\dfrac{3x}{7}+1\right)=\dfrac{1}{112}\)

\(\dfrac{3x}{7}=\dfrac{1}{112}-1\)

\(\dfrac{3x}{7}=\dfrac{-111}{112}\)

ta có 3x.112=-111.7

3x.112=-777

Vì -777 \(⋮̸̸\)112

\(\Rightarrow\) Bài sai

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