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Ta có ;
\(\frac{x}{y}=\frac{2}{3}\Rightarrow\frac{x}{2}=\frac{y}{3}\)
Đặt \(\frac{x}{2}=\frac{y}{3}=k\)
\(\Rightarrow\hept{\begin{cases}x=2k\\y=3k\end{cases}}\)
Thay x , y vào biểu thức Q , ta có :
\(Q=\frac{5x+3y}{6x-7y}=\frac{5.2k+3.3k}{6.2k-7.3k}=\frac{10k+9k}{12k-21k}=\frac{19k}{-9k}=-\frac{19}{9}\)
=> \(Q=\frac{-19}{9}\)
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A=5.2+\(\frac{3.3}{6.2}\)- 7.3 = 10 + \(\frac{3}{4}\) - 21 = \(\frac{-41}{4}\). Mình chưa hiểu đề lắm nên có chỗ nào sai sot thì xin thứ lỗi.
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bài 1:rất dễ,nhân chéo sẽ giải đc
bài 2: x+y=-x
=>x+y+z=0
Ta có: \(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5z}{21}=\frac{\left(-5x\right)+\left(-5y\right)+\left(-5z\right)}{21}=\frac{-5.\left(x+y+z\right)}{21}=\frac{0}{21}=0\)
bài 1:
\(\frac{1}{2a^2+1}:x=2\)
\(\Leftrightarrow\frac{1}{2a^2+1}.\frac{1}{x}=2\)
\(\Leftrightarrow\frac{1}{\left(2a^2+1\right).x}=2\)
\(\Leftrightarrow x=\frac{1}{\frac{\left(2a^2+1\right)}{2}}=\frac{1}{2a^2+1}.\frac{1}{2}=\frac{1}{\left(2a^2+1\right).2}=\frac{1}{4a^2+2}\)
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Theo đầu bài ta có:
\(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5z}{21}\)
\(=\frac{-5x+-5y+-5z}{21}\)
\(=\frac{-5\left(x+y+z\right)}{21}\)
\(=\frac{-5\left(-z+z\right)}{21}\)
\(=\frac{-5\cdot0}{21}\)
\(=\frac{0}{21}=0\)
\(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5z}{21}\)
=>\(A=\frac{\left(-5x\right)+\left(-5y\right)+\left(-5z\right)}{21}\)
=>\(A=\frac{\left(-5\right)\left(x+y+z\right)}{21}\)
=>\(A=\frac{\left(-5\right)\left(-z+z\right)}{21}\)
=>\(A=\frac{\left(-5\right).0}{21}\)
=>\(A=\frac{0}{21}\)
=>A=0
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1.
A=\(\frac{-5x+-5y+-5z}{21}=\frac{-5\left(x+y+z\right)}{21}=\frac{-5}{21}.x+y+z\)
A= -z+z=0
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5x+5x+100=150
5x+5x=150-100
5x+5x=50
2.5x=50
5x=50:2
5x=25
5x=52
x=2
k mình nha bạn
5^x + 5^x + 100 = 150
=> 5^x + 5^x = 150 - 100
=> 5^x + 5^x = 50
=> 2 * 5^x = 50
=> 5^x = 50 : 2
=> 5^x = 25
Mà 25 = 5^2
Vậy x = 2