Rozwiąż układy równań metodą przeciwnych współczynników. a) {5x+3y=0 {-x-2y=7 b) {3u+2v=2 {5u+4v=6 c) {3s+5t=-6 {1,5s-2t=-3

a) {5x+3y=0 {-x-2y=7/ *5 5x+3y=0 -5x-10y=35 5x+3y=0 -7y=35/ :(-7) y=-5 5x=-3y y=-5 x=3 b) {3u+2v=2/ * (-2) {5u+4v=6 -6u-4v=-4 5u+4v=6 -u=2 u=-2 5*(-2)+4v=6 16=4v/ :4 v=4 u=-2 c) {3s+5t=-6 {1,5s-2t=-3 /* (-2) 3s+5t=-6 -3s+4t=6 t=0 3s+0=-6 s=-2 t=o

a) {5x+3y=0 {-x-2y=7 |×5 {5x+3y=0 {-5x-10y=35 5x+3y=0 -7y=35 |÷ (-7) y=-5 5x+3×(-5)=0 5x-15=0 |+15 5x=15 |÷5 x=3 b) {3u+2v=2 |×(-2) {5u+4v=6 {-6u-4v=-4 {5u+4v=6 -u=2 u=-2 {3×(-2)+2v=2 -6+2v=2 |+6 2v=8 |÷2 v=4 c) {3s+5t=-6 {1,5s-2t=-3 |×(-2) {3s+5t=-6 {-3s+4t=6 9t=0 t=0 3s+5t=-6 3s+5×0=-6 3s=-6 |÷3 s=-2