Question

Rozwiaz rownania; a] 1/2x-4=x-6 b]x-5=1/3x+1 c]x/4-1/4=2 d]x/5-3=x+1/5 e]5/6[x-1]=4 f]-1/2[-x-6]=-x

Answer 1

a] 1/2x-4=x-6

1/2x-x = -6+4

-1/2x = -2 |: (-1/2)

x = 4


b]x-5=1/3x+1 
x-1/3x = 1+5

2/3x = 6 |*(3/2)

x = 18/2 = 9



c]x/4-1/4=2 |*4

x-1 = 8

x = 8+1

x = 9



d]x/5-3=x+1/5  |*5

x-15 = 5x+1

x-5x = 1+15

-4x = 16 | (-4)

X = -4

e]5/6[x-1]=4
5/6x-5/6 =4
5/6x = 4+5/6
5/6x = 29/6 |*(6/5)
x = 29/5

X = 5 i 4/5

f]-1/2[-x-6]=-x

1/2x+3 = -x
1/2x+x = -3
3/2x = -3 |* (2/3)

x = -6/3

x = -2