penyelesaian dari sistem persamaan [tex] \frac{1}{x} - \frac{1}{y} = - \frac{1}{6} \: dan \: \frac{1}{2x} + \frac{1}{2y} = 0[/tex] adalah... mohon bantuanny

[tex]\frac{1}{2x}+\frac{1}{2y}=0\\\frac{1}{2}\left(\frac{1}{x}+\frac{1}{y}\right)=0\\\frac{1}{x}+\frac{1}{y}=0\\\\u=\frac{1}{x},v=\frac{1}{y}\\\\u+v=0\rightarrow u=-v\\u-v=-\frac{1}{6}\\-v-v=-\frac{1}{6}\\-2v=-\frac{1}{6}\\v=\frac{1}{12}\\u=-\frac{1}{12}\\\\\frac{1}{x}=-\frac{1}{12}\\x=-12\\\frac{1}{y}=\frac{1}{12}\\y=12[/tex]