Bài 1:
a: Ta có: |3x-2|+|2y+1|=0
=>3x-2=0 và 2y+1=0
=>x=2/3 và y=-1/2
Bài 2:
a: ta có: \(\left(2x-5\right)^{x-3}=\left(2x-5\right)^2\)
\(\Leftrightarrow\left(2x-5\right)^{x-3}-\left(2x-5\right)^2=0\)
\(\Leftrightarrow\left(2x-5\right)^2\left[\left(2x-5\right)^{x-5}-1\right]=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-5=0\\x-5=0\end{matrix}\right.\Leftrightarrow x\in\left\{\dfrac{5}{2};5\right\}\)
b: Ta có; \(x^{2x-1}=x^3\)
\(\Leftrightarrow x^3\left(x^{2x-4}-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\2x-4=0\end{matrix}\right.\Leftrightarrow x\in\left\{0;2\right\}\)