a) \(|2x|.|3.5|=|-2.8|\)
\(\Rightarrow|2x|.|15|=|-16|\)
\(\Rightarrow|2x|.15=16\)
\(\Rightarrow|2x|=\dfrac{16}{15}\)
Ta có hai trường hợp:
1) \(2x\ge0\)
\(\Rightarrow|2x|=2x=\dfrac{16}{15}\Rightarrow x=\dfrac{8}{15}\)
2) \(2x< 0\)
\(\Rightarrow|2x|=-2x=\dfrac{16}{15}\Rightarrow-x=\dfrac{8}{15}\Rightarrow x=-\dfrac{8}{15}\)
Vậy \(x=\dfrac{8}{15}\) hoặc \(x=-\dfrac{8}{15}\).
b) \(|x-\dfrac{1}{2}|+|x+y|=0\)
\(\Rightarrow\left\{{}\begin{matrix}x-\dfrac{1}{2}=0\\x+y=0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{1}{2}\\y=-\dfrac{1}{2}\end{matrix}\right.\)
Vậy \(\left\{{}\begin{matrix}x=\dfrac{1}{2}\\y=-\dfrac{1}{2}\end{matrix}\right.\)
