Завдання 1402 - 1500 » 1448 (2-3)

2) (3x + 1)/2 + 4 = (x + 4)/3 – (3x – (5x - 1)/6); 3x/2 + 1/2 + 4 = x/3 + 4/3 – 3x + 5x/6 – 1/6; 3x/2 – x/3 + 3x – 5x/6 = 4/3 – 1/6 – 1/2 – 4; 9x/6 – 2x/6 + 18x/6 – 5x/6 = 8/6 – 1/6 – 3/6 – 24/6; 20x/6 = – 20/6; 20x = –20; x = –1. 3) 4,5 : (81/3z + 41/6) = 0,6 : (11/3z – 2); 4,5 ∙ (11/3z – 2) = 0,6 ∙ (81/3z + 41/6); 9/2 ∙ (4z/3 – 2) = 3/5 ∙ (25/3z + 25/6); 6z – 9 = 5z + 2,5; 6z – 5z = 2,5 + 9; z = 11,5.