y /126 =-5 / 9 *4 / 7
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a) \(5^{x+3}+5^x=126\)
\(\Rightarrow5^x\cdot\left(5^3+1\right)=126\)
\(\Rightarrow5^x\cdot\left(125+1\right)=126\)
\(\Rightarrow5^x=\dfrac{126}{126}\)
\(\Rightarrow5^x=1\)
\(\Rightarrow5^x=5^0\)
\(\Rightarrow x=0\)
b) \(\dfrac{9-3x}{2}=\dfrac{5-2x}{3}\)
\(\Rightarrow\dfrac{3\cdot\left(9-3x\right)}{6}=\dfrac{2\cdot\left(5-2x\right)}{6}\)
\(\Rightarrow3\cdot\left(9-3x\right)=2\cdot\left(5-2x\right)\)
\(\Rightarrow27-9x=10-4x\)
\(\Rightarrow-4x+9x=27-10\)
\(\Rightarrow5x=17\)
\(\Rightarrow x=\dfrac{17}{5}\)
c) \(7-4\left(x+1\right)=5\)
\(\Rightarrow4\left(x+1\right)=7-5\)
\(\Rightarrow4\left(x+1\right)=2\)
\(\Rightarrow x+1=\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{1}{2}-1\)
\(\Rightarrow x=-\dfrac{1}{2}\)
\(\dfrac{x}{126}=\dfrac{-5}{9}.\dfrac{4}{7}\)
\(\Rightarrow\dfrac{x}{126}=\dfrac{-5.4}{9.7}\)
\(\Rightarrow\dfrac{x}{126}=\dfrac{-20}{63}\); Mẫu số chung : 126
\(\)\(\Rightarrow\dfrac{x}{126}=\dfrac{-40}{126}\)
\(\Rightarrow x=-40\)
a, => x- 1/4 = 5/12
=> x = 5/12 + 1/4
=> x = 2/3
b, => x/126 = -20/ 63
=> x/126 = -40/126
=> x = -40
a: =11/4+5/4-9/8
=4-9/8=32/8-9/8=23/8
b: \(=\dfrac{6}{7}\cdot\dfrac{7}{4}+\dfrac{5}{3}=\dfrac{3}{2}+\dfrac{5}{3}=\dfrac{9+10}{6}=\dfrac{19}{6}\)
c: \(=\dfrac{13}{18}\cdot\dfrac{9}{5}-1=\dfrac{13}{10}-1=\dfrac{3}{10}\)
d: \(=3+\dfrac{9}{4}\cdot\dfrac{5}{3}=3+\dfrac{45}{12}=\dfrac{81}{12}=\dfrac{27}{4}\)
\(\frac{y}{126}=\frac{-5}{9}\times\frac{4}{7}\)
\(\frac{y}{126}=\frac{\left(-5\right)\times4}{9\times7}\)
\(\frac{y}{126}=\frac{-20}{63}\)
\(\frac{y}{126}=\frac{-40}{126}\)
\(\Rightarrow y=-40\)