A) 1,25y-8=0,25y+7 /-0,25y +8 y = 15 B) 2(2y-12)-8=16 4y-24-8 = 16 4y - 32 = 16 /+32 4y = 48 /:4 y = 12 C) z-14=z/3-z/9 /*9 9z-126 = 3z-z /+126 9z = 2z+126 /-2z 7z = 126 /:7 z = 18 D) 1/3x+5/3=x+1 /*3 x+5 = 3x+3 /-x -5 2x = -2 /:2 x = -1 E) 3x-7-x+5=6-x+1 2x-2 = 7-x /+x +2 3x = 9 /:3 x = 3 F) 6x+5=3x+32 /-3x -5 3x = 27 /:3 x = 9
a) 1,25y - 8 = 0,25y + 7 | - 0,25y + 8 1,25y - 0,25y = 7 + 8 y = 15 b) 2 * (2y - 12) - 8 = 16 4y - 24 - 8 = 16 4y - 32 = 16 | + 32 4y = 16 + 32 | : 4 y = 48 : 4 y = 12 c) z - 14 = z/3 - z/9 z - 14 = 3z/9 - z/9 z - 14 = 2z/9 | * 9 9 * (z - 14) = 2z 9z - 126 = 2z | - 2z + 126 9z - 2z = 126 7z = 126 z = 18 d) 1/3x + 5/3 = x + 1 | - x - 5/3 1/3x - x = 1 - 5/3 -2/3x = -2/3 | : - 3/2 x = 1 e) 3x - 7 - x + 5 = 6 - x + 1 2x - 2 = 7 - x | + x + 2 2x + x = 7 + 2 3x = 9 | : 3 x = 3 f) 6x + 5 = 3x + 32 | -3x - 5 6x - 3x = 32 - 5 3x = 27 | : 3 x = 9