Question

Rozwiąż równania:

x+75=57
1 i 2/3+y=2 i 3/4
x-34=-35
3x=2x+1/7
3-x=2x
5y=13
1/7x=-2
-7b=7/8
7x+7=35
2-x=5-2x
69-x=x+96
1/2x+5=x+8

1/3(3x-2)=2
5(x/5-3)=315
4(2x-3/4)=53
2x(x+7)=3(2x-3/4)=53
2(x+7)=3(2x-5)
3(x-5)+7=x+1

Prosiłabym, żeby to nie były same wyniki, ale całe rozwiązania...
Z góry dziękuję...

Answer 1

x+75=57
x = 57 - 75
x = -18

1 i 2/3+y=2 i 3/4
5/3 + y = 11/4
y = 11/4 - 5/3
y = 33/12 - 20/12
y = 13/12

x-34=-35
x = 34 - 35
x = -1

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

3-x=2x
-x -2x = -3
-3x = -3/: (-3)
x = 1

5y=13
5y=13/: 5
y = 13/5
y = 2,6

1/7x=-2/ : 1/7
x = - 2 * 7
x = -14

-7b=7/8 /: (-7)
b = 7/8 * (-1/7)
b = - 7/56
b = -0,125

7x+7=35
7x = 35 - 7
7x = 28/:7
x = 4

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

69-x=x+96
-x -x = 96 - 69
-2x = 27/: (-2)
x = -13,5

1/2x+5=x+8
1/2x - x = 8 - 5
-1/2x = 3/: (-1/2)
x = -6

1/3(3x-2)=2
x - 2/3 = 2
x = 2 + 2/3
x = 8/3

5(x/5-3)=315
x - 15 = 315
x = 315 + 15
x = 330

4(2x-3/4)=53
8x - 3 = 53
8x = 53 + 3
8x = 56/: 8
x = 7

2x(x+7)=3
2x² + 14x = 3 /: 2x
2x + 7 = 3/2x
2x - 3/2x = -7
2x - 1 i 1/2x = -7
-1/2x = -7/: (-1/2)
x = 14

(2x-3/4)=53
2x = 53 + 3/4
2x = 53,75/: 2
x = 26,875

2(x+7)=3(2x-5)
2x + 14 = 6x - 15
2x - 6x = -15 -14
-4x = -29/: (-4)
x = 7,25

3(x-5)+7=x+1
3x - 15 + 7 = x + 1
3x - x = 1 + 8
2x = 9/: 2
x = 4,5

Answer 2

X+75=57
x= 57-75
x= -18

1 i 2/3+y=2 i 3/4
y = 2 i 3/4 - 1 i 2/3
y=11/4 - 5/3
y=33/12 - 20/12 = 13/12 = 1 i 1/12

x-34=-35
x= -35+34
x=-1

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

5y=13|5
y= 13/5
y= 2 i 3/5



3-x=2x
3= 2x+x
3x=3 |:3
x=1

1/7x=-2|1/7
x= -2:1/7
x= -2*7
x=-14


-7b=7/8|(-7)
b = 7/8 * 1/7
b= 1/8

7x+7=35
7x= 35-7
7x= 28|7
x= 4

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

69-x=x+96
x-x = 96-69 => brak rozwiązań

1/2x+5=x+8
1/2x-x = 8-5
-1/2x = 3 |-(1/2)
x= 6


1/3(3x-2)=2
x-2/3 = 2
x= 2- 2/3
x= 1 i 1/3

5(x/5-3)=31
x- 15 = 31
x = 16

4(2x-3/4)=53
8x - 3 = 53
8x= 56|:8
x= 7

x2= x do kwadratu
2x(x+7)=3(2x-3/4)=53
2x2 + 14x = 6x - 9/4 = 53
2x2+14x-6x=-9/4-53
2x2 + 8x+62/4
a=2, b=8, c= 62/4
delta = b2 - 4ac
delta = 64 - 124
brak rozwiązań

2(x+7)=3(2x-5)
2x+14 = 6x - 15
2x-6x= -15-14
-4x = -29 |(-4)
x = 7 i 1/4

3(x-5)+7=x+1
3x - 15 + 7 = x+1
3x-x = 1+15-7
2x = 9
x= 4,5