Question

Rozwiąż równania a) x/3 - 2=x+2
b) 1- 6/7x =4/7
c)6 (1/4x-2)=18
d)x/6-1/6=1
e)-2(2x - 1)=x/3
f)2/5(3 - x)= -2
g)3/4(2-3x)=-6
h)1/5(x-3)=9-x

Answer 1

Rozwiąż równania a) x/3 - 2=x+2 /*3
x-6=3x+6
2x=-12
x=-6

b) 1- 6/7x =4/7 /*7
7-6x=4
7-4=6x
6x=3
x=1/2

c)6 (1/4x-2)=18
1,5x-12=18
1,5x=30 /:1,5
x=20

d)x/6-1/6=1 /*6
x-1=6
x=7

e)-2(2x - 1)=x/3 /*3
-6(2x-1)=x
-12x+6=x
6=13x /:13
x=6/13

f)2/5(3 - x)= -2 /*5
2(3-x)=-10
6-2x=-10
6+10=2x
2x=16 /:2
x=8

g)3/4(2-3x)=-6 /*4
3(2-3x)=-24
6-9x=-24
6+24=9x
9x=30 /:9
x=30/9
x=10/3

h)1/5(x-3)=9-x /*5
x-3=45-5x
x+5x=45+3
6x=48 /:6
x=8