1(x+y)+1½(x-y)=24 ⅓(x+y)+1(x-y)=12 Układ równań

(x+y)+3/2(x-y)=24 /*2 1/3(x+y)+(x-y)=12 /*3 2x+2y+3x-3y=48 x+y+3x-3y=36 5x-y=48 4x-2y=36 /:(-2) 5x-y=48 -2x+y=-18 3x=30 x=10 4x-2y=36 -2y=36-4x /:(-2) y=2x-18 y=2*10-18 y=2 x=10 y=2

1(x+y)+1½(x-y)=24 ⅓(x+y)+1(x-y)=12 x+y+1½x-1½y=24 ⅓x+⅓y+x-y=12 2½x-½y=24 /×2 1⅓x-⅔y=12 /×3 5x-y=48 /×(-2) 4x-2y=36 (nr 1) -10x+2y=-96 4x-2y=36 __________ -10x+2y+4x-2y=36-96 -6x=-60 /:(-6) x=10 (nr 2) nr 2 wst. do 1 4×10-2y=36 40-2y=36 -2y=-4/:(-2) y=2 UKŁAD OZNACZONY (10;2)