1.Rozwiąż równania: a) 3x - 2 (x+1) = 3 + 3x 3x-2x-2=3+3x 3x-2x-3x=3+2 -2x=5 x=-2,5 b) 5 (x-1) + 2x = 2 (x+1) + 8 5x-5+2x=2x+2+8 5x+2x-2x=2+8+5 5x=15 x=3 c) 2 (4-x) = 5 (x-1) - 1 8-2x=5x-5-1 -2x-5x=-5-1-8 -7x=-14 x=2 d) 2 (x-1) - 5 = 3 (2x-3) - 8x 2x-2-5=6x-9-8x 2x-6x+8x=-9+2+5 4x=-2 x=-0,5 e) 12x - (2x+1) = 9 (2-x) 12x-2x-1=18-9x 12x-2x+9x=18+1 19x=19 x=1 f) 3 (x+1) - 4 = 2 (x-2) + 2x 3x+3-4=2x-4+2x 3x-2x-2x=-4-3+4 -x=-3 x=3
a) 3x - 2 (x+1) = 3 + 3x 3x -2x-2 =3+3x x-2=3+3x -2x = 5 x=-2½ b) 5 (x-1) + 2x = 2 (x+1) + 8 5x-5 +2x =2x+2 +8 7x -5 = 2x +10 5x=15 x=3 c) 2 (4-x) = 5 (x-1) - 1 8 -2x = 5x -5-1 8-2x=5x-6 -7x= -14 x=2 d) 2 (x-1) - 5 = 3 (2x-3) - 8x 2x-2 -5 = 6x -9-8x 2x -7 = -2x -9 4x = -2 x=-½ e) 12x - (2x+1) = 9 (2-x) 12x-2x-1 = 18 -9x 10x-1=18-9x 19x =19 x=1 f) 3 (x+1) - 4 = 2 (x-2) + 2x 3x +3 -4 = 2x -4 +2x 3x-1 = 4x-4 -x = -3 x=3
a) 3x - 2 (x+1) = 3 + 3x 3x - 2x - 2 = 3 + 3x 3x - 2x - 3x = 2 + 3 -2x = 5/: (-2) x = -5/2 b) 5 (x-1) + 2x = 2 (x+1) + 8 5x - 5 + 2x = 2x + 2 + 8 5x + 2x - 2x = 5 + 2 + 8 5x = 15/:5 x = 3 c) 2 (4-x) = 5 (x-1) - 1 8 - 2x = 5x - 5 - 1 -2x - 5x = -8 - 5 - 1 -7x = -14/:(-7) x = 2 d) 2 (x-1) - 5 = 3 (2x-3) - 8x 2x - 2 - 5 = 6x - 9 - 8x 2x - 6x + 8x = 2 + 5 - 9 4x = -2/:4 x = -2/4 e) 12x - (2x+1) = 9 (2-x) 12x - 2x - 1 = 18 - 9x 12x - 2x + 9x = 1 + 18 19x = 19/:19 x = 1 f) 3 (x+1) - 4 = 2 (x-2) + 2x 3x + 3 - 4 = 2x - 4 + 2x 3x - 2x - 2x = -3 + 4 - 4 -x = -3 X = 3