a) x=1 y=1 b) x=1 y=-1 c) x=-5/11 y=1 1/11 d) x=2/3 y=2/3 e) x=1 y=1
a) [x+2y=3 /-2y [3x-y=2 [x=3-2y [3*(3-2y)-y=2 [x=3-2y [9-6y-y=2 [x=3-2y [9-5y =2 /-9 [x=3-2y [-5y=-7 /:(-5) [x=3-2y [y=7/5 [y=7/5 [x=3-2*7/5 [y=7/5 [x=3-14/5 [y=7/5 [x=3- 2 i 4/5 [y=7/5 [x=1/5 b) [2x+y=1 /-2x [x-2y=3 [y=1-2x [x-2*(1-2x)=3 [y=1-2x [x-2+4x=3 /+2 [y=1-2x [5x=5 /:5 [y=1-2x [x=1 [y=1-2*1 [x=1 [x=1 [y=-1 c) [3x-4y=3 [ 4x+2y=4 /-4x [3x-4y=3 [2y=4-4x /:2 [3x-4y=3 [y=2-2x [3x-4*(2-2x)=3 [y=2-2x [3x-8+8x=3 [y=2-2x [11x-8=3 /+8 [y=2-2x [11x=11 /:11 [y=2-2x [x=1 [y=2-2*1 [x=1 [y=2-2*1 [x=1 [y=0 d) [6x+3y=6 [2x-3y=-2 /+3y [6x+3y=6 [2x=-2+3y /:2 [6x+3y=6 [x=-1+1,5y [6*(-1+1,5)+3y=6 [x=-1+1,5y [x=-1+1,5 [-6+9+3y=6 [x=-1+1,5y [3+3y=6 /-3 [x=-1+1,5y [3y=3 /:3 [x=-1+1,5y [y=1 [x=-1+1,5 *1 [y=1 [y=1 [x=-1+1,5 [y=1 [x=0,5 e) 8x+5y=13 6x-2y=4 /-6x 8x+5y=13 -2y=4-6x /:(-2) 8x+5y=13 y=-2+3x 8x+5*(-2+3x)=13 y=-2+3x 8x-10+15x=13 /+10 y=-2+3x 23x=23 /:23 y=-2+3x x=1 y=-2+3*1 x=1 y=1 Mam nadziję że pomogłam ;D
a) x+2y=3 3x-y=2 x=3-2y 3(3-2y)-y=2 9-6y-y=2 9-7y=2 /-2+7y 7=7y /:7 1=y x=3-2y x=3-2*1 x=0 y=1 b) 2x+y=1 x-2y=3 /+2y x=3+2y 2(3+2y)-2y=3 6+4y-2y=3 6+2y=3 /-6 2y=-3 /:2 y=-1,5 x=3+2y x=3+2*-1,5 x=3+(-3) x=0 y=-1,5 c) 3x-4y=3 4x+2y=4 /:2 3x-4y=3 2x+y=2 /-2x y=2-2x 3x-4(2-2x)=3 3x-(8-8x)=3 3x-8+8x=3 /+8 11x=11 /:11 x=1 y=2-2x y=2-2*1 y=2-2 y=0 x=1 d) 6x+3y=6 /-6x 2x-3y=-2 3y=6-6x :3 2x-3y=-2 y=2-2x 2x-3(2-2x)=-2 2x-(6-6x)=-2 2x-6+6x=-2 /+6 8x=4 /:8 x=1/2 y=2-2x y=2-2*1/2 y=2-1 y=1 x=1/2 e) 8x+5y=13 6x-2y=4 /:2 8x+5y=13 3x-y=2 /+y-2 3x-2=y 8x+5(3x-2)=13 8x+15x-10=13 /+10 23x=23 /:23 x=1 y=3x-2 y=3*1-2 y=3-2 y=1 x=1
