[latex](x-i)(2-yi)=11-23i\2x-xyi-2i+yi^2=11-23i\2x-xyi-2i-y=11-23i\2x-y+i(-xy-2)=11-23i\left{{{2x-y=11}atop{-xy-2=-23}} ight\left{{{y=2x-11}atop{xy+2=23}} ight\x(2x-11)+2=23\2x^2-11x-21=0\Delta=289\sqrt{Delta} =17\x_1=-1,5\x_2=7\y_1=2x_1-11=-3-11=-14\y_2=2x_2-11=14-11=3\odp.left{{{x=-1,5}atop{y=-14}} ight lub left{ {{x=7}atop{y=3}} ight[/latex] [latex]frac{x}{2-3i}+frac{y}{3+2i}=1\frac{x}{2-3i}cdotfrac{2+3i}{2+3i}+frac{y}{3+2i}cdotfrac{3-2i}{3-2i}=1\frac{2x+3ix}{4-9i^2}+frac{3y-2iy}{9-4i^2}=1\frac{2x+3ix}{13}+frac{3y-2iy}{13}=1\frac{2x+3ix+3y-2iy}{13}=1\2x+3y+i(3x-2y)=13\left{{{2x+3y=13}atop{3x-2y=0}} ight\left{{{2x+3y=13}atop{y=1,5x}} ight\2x+3cdot1,5x=13\2x+4,5x=13\6,5x=13\x=frac{13}{6,5}=2\y=1,5cdot x=1,5cdot2=3\odp. left{{{x=2}atop{y=3}} ight [/latex]
