Question

Wymyślcie i rozwiążcie 20 przykładów równań . mają byc one łate potobne do tych poniżej :

3x+4=8x-16|-4=

3x-4-4=8x-16-4

3x=8x-20|-8x

3x+8x-8x-20

-5x=-20|:(-5)

x=4

i takie maja byc podobne ale ma być 20 przykładów moga być zmyślone ale maja być rozwiązane

Answer 1

1.

5x+1=9x-25|-1

5x=9x+24|-9x

-4x=24|:(-4)

x=-6

2.

10x+50=5x-25|-50

10x=5x-75|-5x

5x=-75|:5

x=-15

3.

3y+6=6y-9|+9

3y+15=6y|-3y

15=3y|:3

y=5

4.

10x=4x+6|-4x

6x=6|:6

x=1

5.

6x+5=2x+15|-2x

4x+5=15|-5

4x=10|:4

x=

6.

100x+500=50x-250|-500

100x=50x-750|-50x

50x=-750|:50

x=-15

7.

0,5x+5=2x+2|-0,5x

5=1,5x+2|-2

3=1,5x|:1,5

x=2

8.

20x+10=30x|-20x

10=10x|:10

x-1

9.

3x-16=8x+4|-3x

-16=5x+4|-4

-20=5x|:5

x=-4

10.

3+4x=8-16x|+16x

3+20x=8|-3

20x=5|:20

x=0,25

11.

11x+1=10x+2|-10x

x+1=2|-1

x=1

12.

125x+125=100x+50|-100x

25x+125=50|-125

25x=-75|:25

x=-3

13.

33x+99=99x+33|-33

33x+66=99x|-33x

66=66x|:66

x=1

14.

5x+5=10x+1|-5x

5=5x+1|-1

5x=4|:5

x=1,25

15.

x+11=2x+22|-x

11=x+22|-22

x=-11

16.

-4x+1=2x-5|+5

-4x+6=2x|+4x

6=6x|:6

x=1

17.

-10x+5=-4x-9|+4x

-6x+5=-9|-5

-6x=-14|:(-6)

x=

18.

20x-1=-5x+9|+1

20x=-5x+10|+5x

25x=10|:25

x=0,4

19.

x+9=-2x+18|+2x

3x+9=18|-9

3x=9|:3

x=3

20.

0,25x+0,75=-0,75x-0,25|+0,75x

x+0,75=-0,25|-0,75

x=-1

Answer 2

1.

2x - 6 - 5x = -9
-3x = -9 + 6
-3x = -3
x = 1

 

2.

2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 6

 

3.

x+3(x-2)=-22
x + 3x - 6 = -22
4x = -22 + 6
4x = -16
x = -4

 

4.

5x-2(x+3)=9
5x - 2x - 6 = 9
3x = 9 + 6
3x = 15
x = 5

 

5.

2x + 5 = 3x - 2
2x - 3x = -2 - 5
-x = -7
x = 7

6.

3x - 2 = 5 - x
3x + x = 5 + 2
4x = 7
x = 7/4
x = 1 3/4

7.

4x + 1=10 - 2x
4x + 2x = 10 - 1
6x = 9
x = 9/6
x = 3/2
x = 1,5

8.

10 - 2x = 5 + 3x
-2x - 3x = 5 - 10
-5x = -5
x = 1

9.

1/2 x - 2 = 4 + 3/2 x
1/2x - 3/2x = 4 + 2
-2/2x = 6
-x = 6
x = -6

10.

2,5 - 2x = 3,5 - 2,5x
-2x + 2,5x = 3,5 - 2,5
0,5x = 1
x = 2

11.

3/4 - 2/3x = 5/4 - 5/3x
-2/3x + 5/3x = 5/4 - 3/4
x = 2/4
x = 1/2

12.

22 - 10x = 15 - 5x
-10x + 5x = 15 - 22
-5x = -7
x = 7/5
x = 1,4

13.

30 - 2x = 5 + 4x
-2x - 4x = 5 - 30
-6x = -25
x = 25/6
x = 4 i 1/6

14.

17 + 2x = 10 - 5x
2x + 5x = 10 - 17
7x = -7
x = -1

15.

12 + 34x = 2(x + 1)
12 + 34x = 2x + 2
34x - 2x = 2 - 12
32x = -10
x = -10/32
x = -5/16

 

16.

x + 2x = x + 9
3x - x = 9
2x = 9
x = 9 : 2
x = 4,5

17.

3a + 4 = a - 1 + a + 7
3a + 4 = 2a + 6
3a - 2a = 6 - 4
a = 2

18.

10 - 2b + 6 - b = 10 - b + 4 - b
16 - 3b = 14 - 2b
-3b + 2b = 14 - 16
-b = - 2
b = 2

19.

0,1x + 0,2 = -0,3
0,1x = -0,3 - 0,2
0,1x = -0,5
x = -0,5 : 0,1
x = -5 : 1
x = -5

20.

0,25x + 0,4 = 0,35
0,25x = 0,35 - 0,4
0,25x = -0,05
x = -0,05 : 0,25
x = -5 : 25
x = -5/25
x = -1/5

21.

1 - 0,2x = -0,3x
-0,2x + 0,3x = -1
0,1x = -1
x = -1 : 0,1
x = -10 ; 1
x = -10

 

 

3 (x - 2 ) = x
3x - 6 = x
3x - x = 6
2x = 6
x = 6 : 2
x = 3

4 ( x - 1 ) = 3 ( x + 1 )
4x - 4 = 3x + 3
4x - 3x = 3 + 4
x = 7

x - 3 = - 6
x = -6 + 3
x = -3

3x + 5 = 6
3x = 6 - 5
3x = 1
x = 1 : 3
x = 1/3

x - 2 ( 3x - 5 ) = - 5
x - 6x + 10 = -5
-5x = -5 - 10
-5x = -15
x = 3

 

2 ( x + 3 ) = 18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 6

x + 3 ( x - 2 )= - 22
x + 3x - 6 = -22
4x = -22 + 6
4x = -16
x = -4

5 x - 2 ( x + 3 ) = 9
5x - 2x - 6 = 9
3x = 9 + 6
3x = 15
x = 5

4 ( 2x + 3 ) - 5 x = - 3
8x + 12 - 5x = -3
3x = - 3 - 12
3x = -15
x = -5

2(x + 1) + 5x = 16
2x + 2 + 5x = 16
7x = 16 - 2
7x = 14
x = 2

 - 4 x - 3 ( 2 x + 1 ) = 7
-4x - 6x - 3 = 7
-10x = 7 + 3
-10x = 10
x = -1

 

3x + 5 + x = 2x + 12
4x - 2x = 12 - 5
2x = 7
x = 7 : 2
x = 3,5

2(8 - y) - 3(8 - y) = 0
16 - 2y - 24 + 3y = 0
y = 24 - 16
y = 8

(3-x)- (2-x) =8
3 - x - 2 + x = 8
0 = 8 + 2 - 3
0 = 7
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