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\(\frac{x}{2}\cdot3+4x=23,1\)
\(\Leftrightarrow x\cdot\frac{3}{2}+4\cdot x=23,1\)
\(\Leftrightarrow x\left(\frac{3}{2}+4\right)=23,1\)
\(\Leftrightarrow x\cdot\frac{11}{2}=23,1\)
\(\Leftrightarrow x=4,2\)

y : 2 x 3 = 23,1 :4
y : 6 = 5.775
y = 5.775 x6
y = 34.65
mình ko chắc lắm bạn tính lại nha

\(\frac{x}{2}\cdot3+x\cdot4=23,1\)
\(\frac{x\cdot3}{2}+x\cdot4=23,1\)
\(x\cdot\left(\frac{3}{2}+4\right)=23,1\)
\(x\cdot\frac{11}{2}=23,1\)
\(x=23,1:\frac{11}{2}=4,2\)


\(a,\)\(71+65\times4=\frac{x+140}{x}+260\)
\(\Rightarrow71+260=\frac{x-140}{x}+260\)
\(\Rightarrow71=\frac{x-140}{x}\)
\(\Rightarrow71x=x-140\)
\(\Rightarrow71x-x=-140\)
\(\Rightarrow70x=-140\)
\(\Rightarrow x=-2\)
\(b,\)\(y\times\frac{15}{2}-\frac{1}{3}\times\left(\frac{1}{4}+y\right)=90\frac{2}{3}\)
\(\Rightarrow\frac{15y}{2}-\frac{1}{12}-\frac{y}{3}=\frac{272}{3}\)
\(\Rightarrow\frac{90y}{12}-\frac{1}{12}-\frac{4y}{12}=\frac{1088}{12}\)
\(\Rightarrow90y-1-4y=1088\)
\(\Rightarrow86y=1089\)
\(\Rightarrow y=\frac{1089}{86}\)

\(X.2+X.5=175\)
\(\Rightarrow X.\left(2+5\right)=175\)
\(\Rightarrow X.7=175\)
\(\Rightarrow X=175:7=25\)
\(Y.Y-3=78\)
\(\Rightarrow Y^2=78+3\)
\(\Rightarrow Y^2=81\)
\(\Rightarrow Y^2=\orbr{\begin{cases}\left(-9\right)^2\\9^2\end{cases}}\)
\(\Rightarrow Y=\orbr{\begin{cases}\left(-9\right)\\9\end{cases}}\)
Ta có 2 TH
TH1 : Nếu Y = ( -9 ) => X + Y = 25 + ( -9 ) = 16
TH2 : Nếu Y = 9 => X + Y = 25 + 9 = 34
\(x\) x 2 + \(x\) x 5 = 175
=> \(x\) x (2 + 5) = 175
\(x\) x 7 = 175
\(x\) = 175/7 = 25
\(y\) x \(y\) - 3 = 78
\(y\) x \(y\)= 78 + 3 = 81
\(y\) = \(9\)
\(x + y = 25 + 9 = 34\)

Trả lời:
\(y\times\frac{15}{2}-\frac{1}{3}\times\left(\frac{1}{4}+y\right)=96\frac{2}{3}\)
\(\Leftrightarrow y\times\frac{15}{2}-\frac{1}{12}-\frac{1}{3}\times y=\frac{290}{3}\)
\(\Leftrightarrow y\times\left(\frac{15}{2}-\frac{1}{3}\right)=\frac{387}{4}\)
\(\Leftrightarrow y\times\frac{43}{6}=\frac{387}{4}\)
\(\Leftrightarrow y=\frac{27}{2}\)
Vậy \(y=\frac{27}{2}\)
\(\frac{y}{2}\) x 3 + y x 4 = 23,1
y x 1,5 + y x 4 = 23,1
y x (1,5 + 4) = 23,1
y x 5,5 = 23,1
y = 23,1 : 5,5
y = 4,2
\(\dfrac{y}{2}\cdot3+y\cdot4=23,1\\ y\left(\dfrac{1}{2}\cdot3+4\right)=23,1\\ y\cdot5,5=23,1\\ y=4,2\)