a) {3x+y=5 {2x-y=0 {y=5-3x {2x-(5-3x)=0 {y=5-3x {2x-5+3x=0 {y=5-3x {5x=5 /:5 {y=5-3*1 {x=1 {y=2 {x=1 b) {2x-y=5 {x+y=4 {2x-(4-x)=5 {y=4-x {2x-4+x=5 {y=4-x {3x=9 /:3 {y=4-x {x=3 {y=4-3 {x=3 {y=1 c) {-x-y=-6 /*(-1) {-x+y=2 {x+y=6 {-x+y=2 {x=6-y {-(6-y)+y=2 {x=6-y {-6+y+y=2 {x=6-y {2y=8 /:2 {x=6-4 {y=4 {x=2 {y=4
a) {3x+y=5 / -3x {2x-y=0 {y=5-3x {2x-y=0 {y=5-3x {2x-5-3x=0 {y=5-3x {-x-5=0 <--- przenosimy 5 na drugą stronę więc będzie {-x=5 {x=-5 y=5 - (-15) y= (-20) {x = -5 {y= -20 b) {2x-y=5 {x+y=4 / -y {2x-y=5 {x=4-y {2*(4-y) -y = 5 {x=4-y {8-2y-y=5 {x=4-y {8-3y=5 <----- 8 przenosimy na tą stronę, więc będzie -3 {x=4-y {-3y=-3 {x=4-y {y=1 {x=4-1 {y=1 {x=3 c) {-x-y=-6 / * (-1) {-x+y=2 {x+y=6 {-x+y=2 {x=6-y {-(6-y)+y=2 {x=6-y {-6+y+y=2 {x=6-y {2y=8 {x=6-4 {y=4 {x=2 {y=4
a){3x+y=5 {2x-y=0 {y=5-3x {2x-5-3x=0 {y=5-3x {2x-3x=0+5 {y=5-3x {-x=5 {y=5-3*(-5) {x=-5 {y=20 {x=-5 b){2x-y=5 {x+y=4 {2*(4-y)-y=5 {x=4-y {8-2y-y=5 {x=4-y {-3y=-3 {x=4-y {y=3 {x=4-3 {y=3 {x=1 c){-x-y=-6 {-x+y=2 {-x-y=-6 {y=2+x {-x-(2+x)=-6 {y=2+x {-x-2-x=-6 {y=2+x {-2x=-4 {y=2+x {x=2 {y=2+2 {x=2 {y=4