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a) y + 3/7 x 21/9 = 5
y + 3/7 x 7/3 = 5
y + 1 = 5
y = 4
b) y x 3/5 - 1/2 = 4/5
y x 3/5 = 4/5 + 1/2
y x 3/5 = 13/10
y = 13/6
c) 9/8 - y + 2/5 = 1/4
y - 2/5 = 9 /8 - 1/4
y - 2/5 = 7/8
y = 51/40
d) y - 6/5 : 2/3 = 5/6
y - 9/5 = 5/6
y = 79/30
e) y : 7/8 + 3/4 = 7/4
y : 7/8 = 1
y = 7/8
l) (x + 9) . (x2 – 25) = 0
<=> (x + 9) . (x – 5) . (x + 5) = 0
<=> \(\left[{}\begin{matrix}\text{x + 9 = 0}\\x-5=0\\x+5=0\end{matrix}\right.\left[{}\begin{matrix}x=-9\\x=5\\x=-5\end{matrix}\right.\)
Vậy S = \(\left\{-9,5,-5\right\}\)
e) |x - 4 |< 7
<=> \(\left[{}\begin{matrix}x-4=7\\x-4=-7\end{matrix}\right.< =>\left[{}\begin{matrix}x=11\\x=-3\end{matrix}\right.\)
Vậy S = \(\left\{11;-3\right\}\)
I,(x+9).(x^2-25)=0
tương đương:x+9=0
x^2-25=0
tương đương : x=-9
x=5
e,\(\left|x-4\right|\)=7
tương đương x-4=4
x-4=-4
tương đương :x=0
x=-8
a) 42:y=56:8 b) y:6+25=83 c) y:4=32(dư 3) d) y:7-45=18 e) 42:y=5(dư 2) g) 51:y=6(dư 3)
42:y=7 y:6=83-25 y=32*4+3 y:7=18+45 y=(42-2):5 y=(51-3):6
y=42:7 y:6=58 y=128+3 y:7=63 y=40:5 y=48:6
y=6 y=58*6 y=131 y=63*7 y=8 y=8
y=348 y=441
a) y = \(\frac{4}{5}-\frac{3}{4}\)
\(\Rightarrow y=\frac{16}{20}-\frac{15}{20}\)
\(\Rightarrow y=\frac{1}{20}\)
b)\(\frac{y}{7}=\frac{7}{8}-\frac{25}{26}\)
\(\Rightarrow\frac{y}{7}=-\frac{9}{104}\)
\(\Rightarrow y=\frac{-9}{104}.7\)
\(\Rightarrow y=\frac{-63}{104}\)
c) y \(+\frac{7}{12}=\frac{17}{18}-\frac{1}{9}\)
\(\Rightarrow y+\frac{7}{12}=\frac{15}{18}=\frac{5}{6}\)
\(\Rightarrow y=\frac{5}{6}-\frac{7}{12}\)
\(\Rightarrow y=\frac{3}{12}=\frac{1}{4}\)
d)\(y=\frac{7}{8}:\frac{3}{5}=\frac{7}{8}.\frac{5}{3}=\frac{35}{24}\)
e)\(y:4,5=\frac{1}{2}:\frac{6}{5}\)
\(\Rightarrow y:\frac{9}{2}=\frac{1}{2}.\frac{5}{6}=\frac{5}{12}\)
\(\Rightarrow y=\frac{5}{12}.\frac{9}{2}=\frac{15}{8}\)