Ответ:

Объяснение:

[tex]\displaystyle\\\left \{ {{\dfrac{x}{2} -\dfrac{y}{3}=3~~~~~~~~~~\Big|\cdot\dfrac{5}{2} } \atop {\dfrac{3x}{4} +\dfrac{5y}{6} =4~~~~~~~~~~~~~}} \right. \\\\\\\left \{ {{\dfrac{5x}{4} -\dfrac{5y}{6} =\dfrac{15}{2} } \atop {\dfrac{3x}{4} +\dfrac{5y}{6} =4}} \right.[/tex]

сложим

[tex]\dfrac{8x}{4} =\dfrac{15}{2} +4\\\\2x=\dfrac{23}{2} \\\\x=\dfrac{23}{4}=5,75\\\\\dfrac{y}{3} =\dfrac{x}{2}-3 =\dfrac{23}{8}-3=-\dfrac{1}{8} \\\\y=-\dfrac{3}{8} =-0,375\\\\Otvet:(-0,375;5,75)[/tex]