\(\frac{37-x}{x+13}=\frac{3}{7}\)
\(\frac{x+1}{3}=\frac{5}{x-1}\)
help me
Những câu hỏi liên quan
Tìm x:
a) \(\frac{1}{4}+\frac{1}{3}:\left(2x-1\right)=-5\)
b) \(-\left(5\frac{3}{8}+x-7\frac{5}{24}\right):2019\frac{11}{37}=0\)
Help me!!!
a) \(\frac{1}{4}+\frac{1}{3}\div\left(2x-1\right)=-5\)
\(\Leftrightarrow\frac{1}{3}\div\left(2x-1\right)=-5-\frac{1}{4}\)
\(\Leftrightarrow\frac{1}{3}\div\left(2x-1\right)=\frac{-20}{4}-\frac{1}{4}\)
\(\Leftrightarrow\frac{1}{3}\div\left(2x-1\right)=\frac{-21}{4}\)
\(\Leftrightarrow\left(2x-1\right)=\frac{1}{3}\div\frac{-21}{4}\)
\(\Leftrightarrow\left(2x-1\right)=\frac{-4}{63}\)
\(\Leftrightarrow2x=\frac{-4}{63}+1\)
\(\Leftrightarrow2x=\frac{-4}{63}+\frac{63}{63}\)
\(\Leftrightarrow2x=\frac{59}{63}\)
\(\Leftrightarrow x=\frac{59}{63}\div2\)
\(\Leftrightarrow x=\frac{59}{126}\)
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b) \(-\left(5\frac{3}{8}+x-7\frac{5}{24}\right)\div2019\frac{11}{37}=0\)
\(\Leftrightarrow-\left(5\frac{3}{8}+x-7\frac{5}{24}\right)=0.2019\frac{11}{37}\)
\(\Leftrightarrow-5\frac{3}{8}-x+7\frac{5}{24}=0\)
\(\Leftrightarrow\frac{-43}{8}-x+\frac{173}{24}=0\)
\(\Leftrightarrow\frac{-129}{24}-x+\frac{173}{24}=0\)
\(\Leftrightarrow-x+\frac{44}{24}=0\)
\(\Leftrightarrow x=\frac{44}{24}-0\)
\(\Leftrightarrow x=\frac{44}{24}=\frac{11}{6}\)
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bài 1 tính bằng cách hợp lí nếu có thểfrac{-5}{12}-frac{-3}{24}b) 5frac{5}{13}-(1frac{1}{2}+3frac{5}{13})c)frac{-13}{37}.frac{5}{23}+frac{-13}{37}.frac{18}{23}+frac{50}{37}d)(0,5 -frac{3}{2}):1frac{1}{6}+75%bài 2 tìm x biết-7/5 +x -3/4-7/4 + 1/4 : x 3/2
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bài 1 tính bằng cách hợp lí nếu có thể
\(\frac{-5}{12}\)-\(\frac{-3}{24}\)=
b) 5\(\frac{5}{13}\)-(1\(\frac{1}{2}+3\frac{5}{13}\))
c)\(\frac{-13}{37}.\frac{5}{23}+\frac{-13}{37}.\frac{18}{23}+\frac{50}{37}\)
d)(0,5 -\(\frac{3}{2}\)):1\(\frac{1}{6}+75\%\)
bài 2 tìm x biết
-7/5 +x = -3/4
-7/4 + 1/4 : x = 3/2
Tìm điều kiện xác định rồi giải các phương trình sau:a) frac{x-2}{2+x}-frac{3}{x-2}frac{2left(x-11right)}{x^2-4}b) frac{3}{4left(x-5right)}+frac{15}{50-2x^2}frac{-7}{6left(x+5right)}c) frac{8x^2}{3left(1-4x^2right)}frac{2x}{6x-3}-frac{1+8x}{4+8x}d) frac{13}{left(x-3right)left(2x+7right)}+frac{1}{2x+7}frac{6}{x^2-9}Help me!
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Tìm điều kiện xác định rồi giải các phương trình sau:
a) \(\frac{x-2}{2+x}-\frac{3}{x-2}=\frac{2\left(x-11\right)}{x^2-4}\)
b) \(\frac{3}{4\left(x-5\right)}+\frac{15}{50-2x^2}=\frac{-7}{6\left(x+5\right)}\)
c) \(\frac{8x^2}{3\left(1-4x^2\right)}=\frac{2x}{6x-3}-\frac{1+8x}{4+8x}\)
d) \(\frac{13}{\left(x-3\right)\left(2x+7\right)}+\frac{1}{2x+7}=\frac{6}{x^2-9}\)
Help me!
a) ĐKXĐ: x khác +2
\(\frac{x-2}{2+x}-\frac{3}{x-2}-\frac{2\left(x-11\right)}{x^2-4}\)
<=> \(\frac{x-2}{2+x}-\frac{3}{x-2}=\frac{2\left(x-11\right)}{\left(x-2\right)\left(x+2\right)}\)
<=> (x - 2)^2 - 3(2 + x) = 2(x - 11)
<=> x^2 - 4x + 4 - 6 - 3x = 2x - 22
<=> x^2 - 7x - 2 = 2x - 22
<=> x^2 - 7x - 2 - 2x + 22 = 0
<=> x^2 - 9x + 20 = 0
<=> (x - 4)(x - 5) = 0
<=> x - 4 = 0 hoặc x - 5 = 0
<=> x = 4 hoặc x = 5
làm nốt đi
Tìm số hữu tỉ x trong tỉ lệ thức :
a ) 0,4 ; x = x : 0,9
b ) \(13\frac{1}{3}:1\frac{1}{3}=26:\left(2x-1\right)\)
c ) \(0,2:1\frac{1}{5}=\frac{2}{3}:\left(6x+7\right)\)
d ) \(\frac{37-x}{x+13}=\frac{3}{7}\)
TÌm số hữu tỉ x trong tỉ lệ thức:
a) 0,4 : x = x : 0,9
b) \(13\frac{1}{3}:1\frac{1}{3}=26:\left(2x-1\right)\)
c) \(0,2:1\frac{1}{5}=\frac{2}{3}:\left(6x+7\right)\)
d) \(\frac{37-x}{x+13}=\frac{3}{7}\)
a, 0,4 : x = x : 0,9
<=> x2 = 0,4 . 0,9
<=> x2 = 0,36
<=> x = 0,6 hoặc -0,6
b, \(13\frac{1}{3}\div1\frac{1}{3}=26\div\left(2x-1\right)\)
\(\Leftrightarrow\frac{40}{3}\div\frac{4}{3}=26\div\left(2x-1\right)\)
\(\Leftrightarrow10=26\div\left(2x-1\right)\)
\(\Leftrightarrow2x-1=\frac{13}{5}\)
\(\Leftrightarrow2x=\frac{18}{5}\)
\(\Leftrightarrow x=\frac{9}{5}\)
c, \(0,2\div1\frac{1}{5}=\frac{2}{3}\div\left(6x+7\right)\)
\(\Leftrightarrow\frac{1}{5}\div\frac{6}{5}=\frac{2}{3}\div\left(6x+7\right)\)
\(\Leftrightarrow\frac{1}{6}=\frac{2}{3}\div\left(6x+7\right)\)
\(\Leftrightarrow6x+7=4\)
\(\Leftrightarrow6x=-3\)
\(\Leftrightarrow x=\frac{-1}{2}\)
d, \(\frac{37-x}{x+13}=\frac{3}{7}\)
\(\Leftrightarrow7\left(37-x\right)=3\left(x+13\right)\)
\(\Leftrightarrow259-7x=3x+39\)
\(\Leftrightarrow-10x=-220\)
\(\Leftrightarrow x=22\)
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tìm x, biết :
a, \(1-(5\frac{3}{8}+x-7\frac{5}{24}):(-16\frac{2}{3})=0\)
b, \((\frac{1}{24.25}+\frac{1}{25.26}+...+\frac{1}{29.30}).120+x:\frac{1}{3}=-4\)
c, \(1\frac{3}{5}+\frac{\frac{2}{7}+\frac{2}{17}+\frac{2}{37}}{\frac{5}{7}+\frac{5}{17}+\frac{5}{37}}.x=\frac{16}{5}\)
HELP ME! 1.frac{3}{4}xfrac{8}{5}:1frac{1}{6}2frac{1}{3}x1frac{1}{4}-frac{7}{5}4frac{2}{3}+1frac{1}{4}+2frac{1}{3}+2frac{3}{7} 2. x.frac{1}{2}frac{3}{4}+frac{1}{5}x-frac{1}{5}frac{2}{3}.frac{9}{4}x.frac{1}{5}+frac{2}{3}frac{5}{4}frac{13}{5}:x-frac{1}{2}frac{4}{5}.frac{15}{16}x:frac{4}{9}+frac{1}{3}frac{2}{5}.1frac{13}{2}Chú ý: Dấu chấm là dấu nhân giúp mị với
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\(HELP\) \(ME\)\(!\)
1.
\(\frac{3}{4}x\frac{8}{5}:1\frac{1}{6}=\)\(2\frac{1}{3}x1\frac{1}{4}-\frac{7}{5}=\)\(4\frac{2}{3}+1\frac{1}{4}+2\frac{1}{3}+2\frac{3}{7}=\)2.
\(x.\frac{1}{2}=\frac{3}{4}+\frac{1}{5}\)\(x-\frac{1}{5}=\frac{2}{3}.\frac{9}{4}\)\(x.\frac{1}{5}+\frac{2}{3}=\frac{5}{4}\)\(\frac{13}{5}:x-\frac{1}{2}=\frac{4}{5}.\frac{15}{16}\)\(x:\frac{4}{9}+\frac{1}{3}=\frac{2}{5}.1\frac{13}{2}\)Chú ý: Dấu chấm là dấu nhângiúp mị với
\(\dfrac{3}{4}\times\dfrac{8}{5}:1\dfrac{1}{6}\)
=\(\dfrac{6}{5}:\) \(\dfrac{7}{6}\)
=\(\dfrac{6}{5}\times\dfrac{6}{7}=\dfrac{36}{35}\)
2\(\dfrac{1}{3}\) x 1\(\dfrac{1}{4}\) -\(\dfrac{7}{5}\)
\(\dfrac{7}{3}\times\dfrac{5}{4}-\) \(\dfrac{7}{5}\)
\(\dfrac{35}{12}-\dfrac{7}{5}\)
\(\dfrac{175}{60}-\dfrac{84}{60}=\dfrac{91}{60}\)
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4\(\dfrac{2}{3}+1\dfrac{1}{4} +2\dfrac{1}{3}+2\dfrac{3}{7}\)
(4 +2) + \(\left(\dfrac{2}{3}+\dfrac{1}{3}\right)\) +1\(\dfrac{1}{4}\) + \(2\dfrac{3}{7}\)
6 + 1 + \(\dfrac{5}{4}\) + \(\dfrac{17}{7}\)
7 + \(\dfrac{103}{28}\)
\(\dfrac{299}{28}\)
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x. \(\dfrac{1}{2}\) =\(\dfrac{3}{4}+\dfrac{1}{5}\)
x . \(\dfrac{1}{2}=\dfrac{15}{20}+\dfrac{4}{20}\)
x.\(\dfrac{1}{2}=\dfrac{19}{20}\)
x = \(\dfrac{19}{20}:\dfrac{1}{2}\)
x = 19/10
\(x-\dfrac{1}{5}=\dfrac{2}{3}\) . \(\dfrac{9}{4}\)
\(x-\dfrac{1}{5}=\) \(\dfrac{3}{2}\)
x = \(\dfrac{3}{2}+\dfrac{1}{5}\)
x =\(\dfrac{15}{10}\) + \(\dfrac{3}{10}\)
x=\(\dfrac{18}{10}\) =\(\dfrac{9}{5}\)
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Tìm x biết:
a) \(\frac{x+1}{5}=\frac{x+2}{6}\)
b)\(\frac{x+1}{2}=\frac{8}{x+1}\)
c)\(\frac{2x-5}{5}=\frac{20}{2x-5}\)
d)\(\frac{37-x}{x+13}=\frac{3}{7}\)
Ta có : \(\frac{x+1}{5}=\frac{x+2}{6}\)
\(\Rightarrow\left(x+1\right)6=5\left(x+2\right)\)
\(\Leftrightarrow6x+6=5x+10\)
\(\Leftrightarrow6x-5x=10-6\)
\(\Rightarrow x=4\)
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\(\frac{x+1}{2}\)= \(\frac{8}{x+1}\)
x + 1 . x + 1 = 2 . 8
x . 2 = 16
x = 16 : 2
x = 8
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Tìm x:\(\left(\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+......+\frac{1}{19\cdot21}\right)\cdot x=\frac{9}{7}\)
HELP ME PLEASE! THANKS A LOT!
\(\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+....+\frac{1}{19.21}\right).x=\frac{9}{7}\)
\(\left(\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+...+\frac{21-19}{19.21}\right).x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\right)\right].x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{21}\right)\right].x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\frac{2}{7}\right].x=\frac{9}{7}\)
\(\frac{1}{7}.x=\frac{9}{7}\)
\(\Rightarrow x=\frac{9}{7}\div\frac{1}{7}=9\)
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\(\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{19.21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{19}-\frac{1}{21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\left(\frac{1}{3}-\frac{1}{21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\frac{2}{7}x=\frac{9}{7}\)
\(\Leftrightarrow x=\frac{9}{2}\)
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2 ( 1/3.5 + 1/5.7 + 1/7.9+......+ 1/19.21) . x = 2.9/7
(2/3.5 + 2/5.7 + 2/7.9+......+ 2/19.21). x = 18/7
(1/3-1/5 + 1/5-1/7+ 1/7-1/9 +.....+ 1/19 - 1/21).x = 18/7
(1/3-1/21) . x= 18/7
2/7 x = 18/7
x= 18/7 . 7/2
x= 9
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