Решите уравнение:
а) 2х - x-2/2 = x/3 - 6;
6) 1 + x+1/3 = х - 3x+1/8;
в) 1-y/7 + y = y/2 + 3;
г) 6 = 3x-1/2 • 2,4;
д) 0,69 = 5-2y/8 • 13,8;
е) 0,5 • 4+2x/13 = x - 10.

Решение:


а) 2х - x-2/2 = x/3 - 6 => 12x - 3x + 6 = 2x - 36 => 7x = -42 => x = -6;
6) 1 + x+1/3 = х - 3x+1/8 => 24 + 8x + 8 = 24x - 9x - 3 => 7x = 35 => x = 5;
в) 1-y/7 + y = y/2 + 3 => 2 - 2y + 14y = 7y + 42 => 5y = 40 => у = 8;
г) 6 = 3x-1/2 • 2,4 => 5 = (3x - 1) • 1,2 => 5 = 3x - 1 => 3x = 6 => x = 2;
д) 0,69 = 5-2y/8 • 13,8 => 5,52 = 69 - 27,6y => 27,6y = 63,48 => y = 2,3;
е) 0,5 • 4+2x/13 = x - 10 => 2 + x = 13x - 130 => 12x = 132 => x = 11.