Question

Rozwiąż i sprawdź równania:

a)2x-7-{3-2x-2(1-2x)}=x-11

b)10-{2(1-x)-3(2x+5)}=2(x+5)+1

c)8-3x-2{4-(x+5)}=3(x+1)-1

c)1-2x-3{2x-(-5+x)}=x+4

e)x/3-5/6=1/12-x/2

f)x-1 1/2-1/3x=2+1/4x-5/6

g)3+(8+x)/2=2x+13

h)5-(x+5)/3=2-x

i)5(3-x)+(x-3)/2=4x+5

j)(5-x)/2-2(2x+5)=2x-1

Answer 1

 

a) 2x-7-[3-2x-2(1-2x)]=x-11
2x-7-3-2x+2+4x-x+11=0
5x+3=0
5x=-3 /:5
x=-3/5

b) 10-[2(1-x)-3(2x+5)]=2(x+5)+1
10-[2-2x-6x-15]=2x+10+1
10-2+2x+6x+15-2x-10-1=0
6x+12=0
6x=-12 /:6
x=-2

c) 8-3x-2[4-(x+5)]=3(x+1)-1
8-3x-2[4-x-5]=3x+3-1
8-3x-8+2x+10-3x-3+1=0
-4x+8=0
-4x=-8 /:(-4)
x=2

d) 1-2x-3[2x-(-5+x)]=x+4
1-2x-6x-15+3x=x+4
-6x=18 /:(-6)
x=-3

e)  x/3 - 5/6 = 1/12 - x/2  I*12
4x-10=1-6x
4x+6x=1+10
10x=11/:10
x=1,1

f)  x-1 1/2- 1/3x= 2+ 1/4x-5/6
x - 3/2 - 1/3x = 2 + 1/4x - 5/6   I* 12
x*12 - 3/2 * 12 - 1/3x * 12 = 2*12 + 1/4x * 12 - 5/6  I* 12
12x - 18 - 4x = 24 + 3x - 10
8x - 3x = 14 + 18
5x = 32
x = 32/5
x = 6,4

g) 3+(8+x/2)=2x+13

3+8+½x=2x+13

½x-2x=13-3-8

-1,5x = 2   /:(-1,5)

x = -1⅓

h) 5- (x+5)/3 = 2 - x     |*3

15-x-5=6-3x

10-x=6-3x

2x=-4

x=-2

i) 5 (3-x) + (x-3)/2 = 4x + 5   |*2

10(3-x)+x-3=8x+10

30-10x+x-3=8x+10

9x+27=8x+10

x=-17

j) (5-x)/2 - 2 (2x+5) = 2x-1    |*2

5-x-4(2x+5)=4x-2

5-x-8x-20=4x-2

-9x-15=4x-2

-13x=13

x=-1