Question

Rozwiąż równania:

4x-7=2x+3

3(2x-4)=2x+8

5(2x-3)-6x=3(4x-5)+8

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

4(x+2)-7(2x-1)+9(3x-4)=30

2(-4x+3)+2x=5x-1

4(5x-1)+2+x=2(10x+2)+1

Answer 1

a)4x-7=2x+3

2x = 10

x=5

 

b)3(2x-4)=2x+8

6x -12 = 2x +8

4x = 20

x=5

 

c) 5(2x-3)-6x=3(4x-5)+8

10x -15 -6x = 12x -15 +8

4x -15=12x -7

-8x = 8

x=-1

 

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

15x-3 +2=15x -10+3

15x -1 = 15x -7

-1≠-7

sprzeczne

 

e)4(x+2)-7(2x-1)+9(3x-4)=30

4x +8 - 14x +7 + 27 x -36 =30

17x-21 = 30

17x=51

x=3

 

f) 2(-4x+3)+2x=5x-1

-8x +6 +2x = 5x -1

-6x +6=5x-1

-11x =-7

x=7/11

 

g) 4(5x-1)+2+x=2(10x+2)+1

20x -4 +2 + x = 20x +4 +1

21x -2=20x+5

x=7

 

Answer 2

4x-7=2x+3

4x-2x=3+7

2x=10

x=10:2

x=5

 

3(2x-4)=2x+8

6x-12=2x+8

6x-2x=8+12

4x=20

x=20:4

x=5

 

5(2x-3)-6x=3(4x-5)+8

10x-15-6x=12x-15+8

10x-6x-12x=-7+15

-8x=8

x=-1

 

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

15x-3+2=15x-10+3

15x-15x=-7+1

0=-6

sprzeczne

 

4(x+2)-7(2x-1)+9(3x-4)=30

4x+8-14x+7+27x-36=30

2x=30-15+36

17x=51

x=51:17

x=3

 

2(-4x+3)+2x=5x-1

-8x+6+2x=5x-1

-6x-5x=-1-6

-11x=-7

x=-7:-11

x=7/11

 

4(5x-1)+2+x=2(10x+2)+1

20x-4+2+x=20x+4+1

21x-20x=5+2

x=7

Answer 3

4x-7=2x+3

4x-2x=3+7

2x=10 /:2

x=5

 

3(2x-4)=2x+8

6x-12=2x+8

6x-2x=12+8

4x=20 /:4

x=5

 

5(2x-3)-6x=3(4x-5)+8

10x-15-6x=12x-15+8

10x-6x-12x=15-15+8

-8x=8 / :8

x= -1

 

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

15x-3+2= 15x-10+3

15x-1=15x-7

15x-15x=-7+1

0≠-6 rónanie sprzeczne

 

4(x+2)-7(2x-1)+9(3x-4)=30

4x+8-14x+7+27x-36=30

4x-14x+27x=30-8-7+36

17x= 51 / :17

x=3

 

2(-4x+3)+2x=5x-1

-8x+6+2x=5x-1

-8x+2x-5x=-6-1

-11x= -7 / :11

x=7/11

 

4(5x-1)+2+x=2(10x+2)+1

20x-4+2+x=20x+4+1

20x+x-20x=4+1+4-2

x=7