Question

Rozwiąż równania.
a) 5-4x:3 + x = -2x + 1/4

b) -x-3:2 + x-2:3 = 2x+5:6

Answer 1

a)
5-4x:3 + x = -2x + 1/4
5 - 4/3x + x = -2x + 1/4
5 - 1/3x = -2x + 1/4
-1/3x + 2x = 1/4 - 5
5/3x = - 4 3/4 = - 19/4    /*3/5
x = -19/4 * 3/5 = - 57/20
x = - 2 17/20

b)
-x-3:2 + x-2:3 = 2x+5:6
-x - 3/2 + x - 2/3 = 2x + 5/6
-2x = 5/6 + 2/3 + 3/2
-2x = 5/6 + 4/6 + 9/6
-2x = 18/6 = 3      /:(-2)
x = - 3/2
x = - 1 1/2