a)[latex]left { {{3(x-frac{1}{2})+2(y+3)=3frac{1}{2}} atop {frac{3x-1}{3}-frac{y+3}{2}=-1} ight.[/latex] [latex]left { {{3x-1frac{1}{2}+2y+6=3frac{1}{2} atop {x-frac{1}{3}-frac{1}{2}y+1frac{1}{2}=-1/*6}} ight.[/latex] [latex]left { {{3x+2y=-1/*(-2)} atop {6x-3y=-12}} ight.[/latex] [latex]left { {{-6x-4y=2} atop {6x-3y=-12}} ight. [/latex] _________________ [latex]-7y=10/:(-7) [/latex] [latex]y=-1frac{3}{7}[/latex] [latex]3x+2*(-1frac{3}{7})=-1[/latex] [latex]3x=1frac{6}{7}/*3[/latex] [latex]left { {{x=frac{13}{21}} atop {y=-1frac{3}{7}} ight.[/latex] b)[latex]left { {{frac{x-3}{4}-frac{y+5}{2}=-1,5/*4 atop {frac{x-3}{2}-frac{2y-7}{3}=1/*6}} ight.[/latex] [latex]left { {{x-3-2y-10=-6} atop {3x-9-4y+14=6}} ight.[/latex] [latex]left { {{x-2y=7/*(-2)} atop {3x-4y=1}} ight.[/latex] [latex]left { {{-2x+4y=-14} atop {3x-4y=1}} ight.[/latex] ____________________ [latex]x=-13[/latex] [latex]-13-2y=7[/latex] [latex]-2y=20/:(-2)[/latex] [latex]left { {{x=-13} atop {y=-10}} ight.[/latex]
