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34+25x=2960⇒25x=2960−34⇒25x=2960−3.1560⇒25x=29−4560⇒25x=−1660=−415⇒x=−415:25⇒x=−415.52⇒x=−23Vậyx=−23

x/5=y/3
=>x^2/5^2=y^2/3^2
=>x^2/25=y^2/9
áp dụng tc dãy ts = nhau ta có:
x^2/25=y^2/9=x^2-y^2/25-9=4/16=0,25
=>x^2/25=0,25=>x^2=6,25=>x=2,5 ;-2,5
=>y^2/9=0,25=>y^2=2,25 => y=1,5 ;-1,5

Bài 2:
a: \(\Leftrightarrow x=\dfrac{29}{60}\cdot\dfrac{-7}{5}=\dfrac{-203}{300}\)
b: \(\Leftrightarrow x\cdot\dfrac{2}{5}=\dfrac{29}{60}-\dfrac{3}{4}=\dfrac{29-45}{60}=\dfrac{-16}{60}=\dfrac{-8}{30}\)
\(\Leftrightarrow x=\dfrac{-8}{30}:\dfrac{2}{5}=\dfrac{-8\cdot5}{30\cdot2}=\dfrac{-40}{60}=-\dfrac{2}{3}\)

\(\left(2x-3\right)-\left(x-5\right)=\left(x+2\right)-\left(x-1\right)\)
\(2x-3-x+5=x+2-x+1\)
\(x+2=3\)
\(x=3-2\)
\(x=1\)

|\(\left|x+\frac{1}{3}\right|+\left|x+\frac{4}{3}\right|=\frac{9}{2}.x\) (1)
+)Xét \(x< -\frac{4}{3}\);(1) trở thành: \(-2x-\frac{5}{3}=\frac{9}{2}x\Leftrightarrow\frac{13}{2}x=-\frac{5}{3}\Leftrightarrow x=-\frac{10}{39}\)(loại)
+)Xét \(-\frac{4}{3}\le x< -\frac{1}{3}\);(1) trở thành: \(\frac{9}{2}x=1\Leftrightarrow x=\frac{2}{9}\) (loại)
+)Xét \(x>-\frac{1}{3}\);(1) trở thành: \(2x+\frac{5}{3}=\frac{9}{2}x\Leftrightarrow\frac{5}{2}x=\frac{5}{3}\Leftrightarrow x=\frac{2}{3}\) (chọn)

a) 3/4 + 1/4 : x = 2/5
1/4 : x = 2/5 - 3/4 = 8/20 - 15/20
1/4 : x = -7/20
x = 1/4 : -7/20 = 1/4 . -20/7
x = -5/7
b) 3/4 + 2/5 . x = 29/60
2/5 . x = 29/60 - 3/4 = 29/60 - 45/60
2/5 . x = -4/15
x= -4/15 : 2/ 5 = -4/5 . 5/2
x = -2/3
\(\frac{3}{4}\)\(+\frac{2}{5}x=\frac{29}{60}\)
\(\frac{2}{5}x=\frac{29}{60}-\frac{3}{4}\)
\(\frac{2}{5}\)\(x=\frac{-4}{15}\)
\(x=\frac{-4}{15}\)\(.\frac{5}{2}\)
\(x=\frac{-2}{3}\)
\(\frac{3}{4}+\frac{2}{5}x=\frac{29}{60}\)
\(\frac{2}{5}x=\frac{29}{60}-\frac{3}{4}\)
\(\frac{2}{5}x=\frac{29}{60}-\frac{45}{60}\)
\(\frac{2}{5}x=\frac{-4}{15}\)
\(x=\frac{-4}{15}\div\frac{2}{5}\)
\(x=\frac{-2}{3}\)