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a) \(\frac{x-5}{7}=\frac{5}{3}\)
\(\Rightarrow\left(x-5\right)\cdot3=7\cdot5\)
\(\Rightarrow3x-15=35\)
\(\Rightarrow3x=15+35\)
\(\Rightarrow3x=50\)
\(\Rightarrow x=\frac{50}{3}\)
b) \(\frac{x-3}{3}=\frac{12}{x-3}\)
\(\Rightarrow\left(x-3\right)\cdot\left(x-3\right)=3\cdot12\)
\(\Rightarrow\left(x-3\right)^2=36\)
\(\Rightarrow\left(x-3\right)^2=6^2\)hoặc \(\left(x-3\right)^2=\left(-6\right)^2\)
\(\Rightarrow x-3=6\) \(x-3=-6\)
\(\Rightarrow x=6+3\) \(x=-6+3\)
\(\Rightarrow x=9\) hoặc \(x=-3\)
c) \(\frac{5-2x}{4}=\frac{7}{3}\)
\(\Rightarrow\left(5-2x\right)\cdot3=4\cdot7\)
\(\Rightarrow15-6x=28\)
\(\Rightarrow6x=15-28\)
\(\Rightarrow6x=-13\)
\(\Rightarrow x=-\frac{13}{6}\)
d) \(\frac{x+1}{4}=\frac{7}{3}\)
\(\Rightarrow\left(x+1\right)\cdot3=2\cdot7\)
\(\Rightarrow3x+3=28\)
\(\Rightarrow3x=28-3\)
\(\Rightarrow3x=25\)
\(\Rightarrow x=\frac{25}{3}\)
Chúc bạn học tốt !!!
\(a.\frac{2}{3}+\frac{1}{5}\cdot\frac{10}{7}\)
\(=\frac{2}{3}+\frac{1\cdot2}{1\cdot7}\)
\(=\frac{2}{3}+\frac{2}{7}=\frac{2\cdot7}{21}+\frac{2\cdot3}{21}=\frac{14}{21}+\frac{6}{21}=\frac{20}{21}\)
\(b.\frac{2}{7}\cdot\frac{4}{7}+\frac{2}{7}\cdot\frac{3}{7}\)
\(=\frac{2}{7}\cdot\left(\frac{4}{7}+\frac{3}{7}\right)\)
\(=\frac{2}{7}\cdot\frac{7}{7}=\frac{2}{7}\cdot1=\frac{2}{7}\)
\(c.\left[-\frac{1}{4}+\frac{3}{10}\right]:\left(-\frac{3}{5}\right)-\frac{7}{6}\)
\(=\left[-\frac{5}{20}+\frac{6}{20}\right]:\left(-\frac{3}{5}\right)-\frac{7}{6}\)
\(=\frac{1}{20}:\left(-\frac{3}{5}\right)-\frac{7}{6}\)
\(=\frac{1}{20}\cdot\left(-\frac{5}{3}\right)-\frac{7}{6}\)
\(=\frac{1\cdot\left(-1\right)}{4\cdot3}-\frac{7}{6}\)
\(=\left(-\frac{1}{12}\right)-\frac{7}{6}=\left(-\frac{1}{12}\right)-\frac{14}{12}=-\frac{15}{12}\)
bài 2 :a) \(2x-2\frac{2}{7}=2\frac{5}{7}\)
\(2x=2\frac{5}{7}-2\frac{2}{7}\)
\(2x=\left(2-2\right)+\left(\frac{5}{7}-\frac{2}{7}\right)\)
\(2x=0+\frac{3}{7}\)
\(2x=\frac{3}{7}\)
\(x=\frac{3}{7}:2=\frac{3}{7}\cdot\frac{1}{2}=\frac{3}{14}\)
\(b.\frac{17}{13x}=\frac{4}{39}\)
\(\Rightarrow13x\cdot4=17\cdot39\)
\(\Rightarrow13x\cdot4=663\)
\(\Rightarrow13x=663:4\)
\(\Rightarrow13x=165,75\)
\(\Rightarrow x=165,75:13\)
\(\Rightarrow x=12,75\)
\(****nha!!!!!!!!!!!!\)
luc nao minh day cach viet phan
cho minh 1k song kb rui minh bao
\(-\frac{x}{9}=\frac{4}{9}\)
\(\Rightarrow-x=4\)
\(\Rightarrow x=-4\)
\(-\frac{x}{9}=\frac{4}{x}\) <=> x2 = -36 (VN)
Vậy ko có x thỏa đề bài
\(\frac{1}{7}=\frac{8}{-x}\)
\(\Rightarrow-x.1=8.7\)
\(\Rightarrow-x=56\)
\(\Rightarrow x=-56\)
\(A=\frac{9}{7}\times\frac{13}{5}\times\frac{9}{4}=\frac{1053}{140}\)
\(B=\frac{27}{5}\times\frac{13}{7}\times\frac{1}{4}=\frac{351}{140}\)
Vậy \(\frac{A}{B}=A:B=\frac{1053}{140}:\frac{351}{140}=\frac{1053}{351}=3\)
Câu 2:
a.
1.
\(\left(2x+1\right)^2=16\)
\(\left(2x+1\right)^2=\left(\pm4\right)^2\)
\(2x+1=\pm4\)
TH1:
\(2x+1=4\)
\(2x=4-1\)
\(2x=3\)
\(x=\frac{3}{2}\)
TH2:
\(2x+1=-4\)
\(2x=-4-1\)
\(2x=-5\)
\(x=-\frac{5}{2}\)
Vẫy \(x=\frac{3}{2}\) hoặc \(x=-\frac{5}{2}\)
2.
\(\frac{x-12}{4}=\frac{1}{2}\)
\(\left(x-12\right)\times2=1\times4\)
\(2x-24=4\)
\(2x=4+24\)
\(2x=28\)
\(x=\frac{28}{2}\)
\(x=14\)
Câu 2: a) Tìm x
1. \(\left(2x+1\right)^2=16\)
\(\left(2x+1\right)^2=4^2\)
2x + 1 = 4
2x = 4 - 1
2x = 3
x = \(\frac{3}{2}\)
2. \(\frac{x-12}{4}=\frac{1}{2}\)
\(x-12=\frac{1.4}{2}\)
x - 12 = 2
x = 14
(220-b)/b=4/7
=> (220-b)7=4b
=> 1540 - 7b = 4b
=> 1540 = 4b +7b
=> 11b = 1540
=> b=1540 : 11
=> b=140
\(\frac{220-b}{b}=\frac{4}{7}\)
\(\Rightarrow\left(220-b\right).7=4b\)
\(\Rightarrow1540-7b=4b\)
\(\Rightarrow-7b-4b=-1540\)
\(\Rightarrow-11b=-1540\)
\(\Rightarrow b=140\)