1) {y=2x+2 {2x-3(2x+2)=6 {y=2x+2 {2x-6x-6=6 {y=2x+2 {4x=-12 {y=-4 {x=-3 2) {3x-4y=7 {-2x+3y=-4 3x-4y-2x+3y=3 x-y=3 {x-y=3 {3y-2x=-4 x-y+3y-2x=-1 2y-x=-1 {x-y=3 {2y-x=-1 x-y+2y-x=2 y=2 {x=5 {y=2
1) Metodą podstawiania [latex] left { {{y=2x+2} atop {2x-3y=6}} ight. \ \ left { {{y=2x+2} atop {2x-3(2x+2)=6}} ight. \ \ 2x-3(2x+2)=6 o 2x-6x-6=6 o -4x= 12 o oxed{x= -3} \ \ y=2x+2 o y=2(-3)+2 o y=-6+2 o oxed{y=-4} \ \ left { {{y=2x+2} atop {2x-3y=6}} ight. qquad o oxed{(-3, -4)} [/latex] 2) Metodą przeciwnych współczynników. [latex] left { {{3x-4y=7} atop {-2x+3y=-4}} ight. o left { {-2*({3x-4y=7}) atop -3*({-2x+3y=-4})} ight. \ \ left { {-6x+8y=-14} atop {6x-9y=12}} ight. o 8y+(-9y)= -14+12 o -y=-2 o oxed{y=2} \ \ \ left { {{3x-4y=7} atop {-2x+3y=-4}} ight. o left { {-3*({3x-4y=7}) atop 4*({-2x+3y=-4})} ight. \ \ left { {-9x+12y=-21} atop {-8x+12y=-16}} ight. o-9x-(-8x)=-21-(-16) o -x=-5 o oxed{x=5} [/latex] pozdrowienia!!!!
