Rozwiąż układy równań [latex] left { {{2x+3y=0} atop {-3+y=1}} ight. [/latex] [latex] left { {{2x-y+6} atop {x+3y=9}} ight. [/latex] [latex] left { {{x- frac{y-1}{2} =1} atop { frac{1}{2} }x+y=0 ight. [/latex]

[latex] left { {{2x+3y=0} atop {-3x+y=1}} ight.\ W=egin{vmatrix} 2 & 3 \ -3 & 1 end{vmatrix}=2+9=11\ W_x=egin{vmatrix} 0 & 3 \ 1 & 1 end{vmatrix}=0-3=-3\ W_y=egin{vmatrix} 2 & 0 \ -3 & 1 end{vmatrix}=2-0=2\ x= frac{W_x}{W}= frac{-3}{11}\ y= frac{W_y}{W}= frac{2}{11} [/latex] [latex] left { {{2x-y=6} atop {x+3y=9}} ight.\ W=egin{vmatrix} 2 & -1 \ 1 & 3 end{vmatrix}=6+1=7\ W_x=egin{vmatrix} 6 & -1 \ 9 & 3 end{vmatrix}=18+9=27\ W_y=egin{vmatrix} 2 & 6 \ 1 & 9 end{vmatrix}=18-6=12\ x= frac{W_x}{W}= frac{27}{7}\ y=frac{W_y}{W}= frac{12}{7}\[/latex] [latex] left { {{x+ frac{y-1}{2}=1} atop { frac{1}{2}x+y=0 }} ight.\ left { {{x=1-frac{y-1}{2}} atop { frac{1}{2}(1-frac{y-1}{2}})+y }} ight. \ left { {{x=1-frac{y-1}{2}} atop { y=-1} ight. \ left { {{x=1-frac{-1-1}{2}} atop { y=-1} ight. \ left { {{x=2} atop { y=-1} ight. \[/latex]