Question

zadanie 1

Rozwiąż równanie.

a) 2(x+3)-3(x+1)=x-13

b) 1+2[3(x-1)-5(2x-3]=2x-7

c) 5(x-1)-2(x+3)=3x+2

d) 3(2x-3)+2(x-4)=4(x-2)-3(5-x)

e) 4(x-2)-5(3x-9)=0

Answer 1

a)

2(x+3)-3(x+1)=x-13

2x+6-3x-3=x-13

2x-3x-x= -13-6+3

-2x=-16

x=8

b)

1+2[3(x-1)-5(2x-3]=2x-7

1+2(3x-3-10x+15)=2x-7

1+6x-6-20x+30=2x-7

6x-20x-2x= -7-30+6-1

-16x=-32

x=2

c)

5(x-1)-2(x+3)=3x+2

5x-5-2x-6=3x+2

5x-2x-3x=2+6+5

0x=13

jest to tożsamość.

d)

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

6x-9+2x-8=4x-8-15+3x

6x+2x-4x-3x= -8-15+8+9

x= -6

e)

4(x-2)-5(3x-9)=0

4x-8-15x+45=0

-11x+37=0

-11x=-37

x= 37/11