Równania kto rozwiąze... w załączniku
Mam nadzieje ze rozczytacie ;d
zal 1
1)
3x + 7 = 2x + 1
3x - 2x = 1 - 7
x = -6
2)
6x + 2x - 10 = 3x + 5
8x - 3x = 5 + 10
5 x = 15
x = 3
3)
4x + 2 + 5x - 3 = 6x - 4 - 7x + 5
9x - 6x + 7x = 1 + 3 -2
10x = 2
x = 2/10 = 1/5
4)
5(x-7) + 2 = (-28)
5x - 35 + 2 = - 28
5x = -28 + 35 -2
5x = 5
x = 1
5)
(x-1) + 3 (x+1) = 26
x-1 + 3x + 3 = 26
4x = 26 - 3 +1
4x = 24
x = 6
6)
x + 5= 2 (4x + 25)
x + 5 = 8x + 50
x - 8x = 50 - 5
-7x = 45
x = - 6 3/7
zalacznik2
a) pewnosci nie mam co jest tam napisane
5x -4 = - 2x + 1
5x + 2x = 1 + 4
7x = 5 /:7
x = 5/7
b) 6x = 2x - 10 = 3x + 5
8x - 3x = 5 = 10
5x = 15 /:5
c)
4x + 2 + 5x -3 = 6x -4 - 7x + 5
9x - 6x = 7x = 1 + 3 - 2
10 x =2 /:10
d)
e)
2(x-1) + 3 (x+1) = 26
2x - 2 = 3x = 3 = 26
5x = 26 - 3 + 2
5x = 25 /: 5
x = 5
f)
8x + 5 = 2 (4x + 2,5)
8x + 5 = 8x + 5
8x - 8x = 5-5
0 = 0
prawda, rozwiazaniem jest kazda liczba rzeczywista
g)
(x + 4)/2 - 5 = (-3) /*2
x + 4 - 10 = -6
x = -6 + 10 -4
x = 0
zal 3
i)
(3x +2)/4 + 5 = (2x +1 )/3 /*4
3x +2 +20 = 4(2x+1)/3 /*3
9x + 6 + 60 = 8x +4
9x - 8x = 4 - 66
x = - 62
j)
(2x + 1 -3)/4 = x/5 /*4
2x - 2 = 4x/5 /*5
10x - 10 = 4x
10x - 4x = 10
6x = 10 /:6
x = 10/6 = 1 2/3
k)
18 - 3(x + 9) = (-3) (3 + x)
18 - 3x - 27 = -9 - 3x
-3x + 3x = -9 + 27 - 18
to rownanie spelniaja wszystkie liczby rzeczywiste
l)
(12-x)/4 = (x+4)/12
(36 - 3x)/12 = (x+4)/12 /*12
36 - 3x = x + 4
-3x - x = 4 - 36
- 4x = - 32
x = 8
#L)
5x - 6 ( x+7) = 8x - 9 (10 + x)
5x - 6x - 42 = 8x - 90 - 9x
-x - 8x + 9x = - 90 + 42
0x = -48 falsz
m)
x/3 = (2x - 5)/6
2x/6 = (2x - 5)/6
2x = 2x -5
2x - 2x = -5
0 = -5
falsz
nie ma rozw.
n)
(x+3)/2 = (x+1)/3
(3x +9)/6 = (2x +2)/6 /*6
3x +9 = 2x +2
3x - 2x = 2 - 9
x = -7
o)
2x (5 + x) -2 = 6 (x-2) + 2x²
10 x + 2x² -2 = 6x - 12 + 2x²
10x + 2x² - 6x - 2x² = -12 +2
4x = -10
x = - 10/4 = - 2 1/2
p)
(2x +3)/5 = (2-x)/3 - x
(6x +9)/15 = (10 - 5x)/15 - x /* 15
6x + 9 = 10 - 5x - x
6x + 5x - x = 10 -9
10 x = 1
x = 1/10
r)
(x+1)/2 - (x-1)/3 = 1/4
(6x +6)/12 - ( 4x -4)/12 = 3/12 /* 12
6x + 6 - 4x + 4 = 3
2x = 3-4-6
2x = -7
x = - 7/2
x = - 3 1/2
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zal 1
1)
3x + 7 = 2x + 1
3x - 2x = 1 - 7
x = -6
2)
6x + 2x - 10 = 3x + 5
8x - 3x = 5 + 10
5 x = 15
x = 3
3)
4x + 2 + 5x - 3 = 6x - 4 - 7x + 5
9x - 6x + 7x = 1 + 3 -2
10x = 2
x = 2/10 = 1/5
4)
5(x-7) + 2 = (-28)
5x - 35 + 2 = - 28
5x = -28 + 35 -2
5x = 5
x = 1
5)
(x-1) + 3 (x+1) = 26
x-1 + 3x + 3 = 26
4x = 26 - 3 +1
4x = 24
x = 6
6)
x + 5= 2 (4x + 25)
x + 5 = 8x + 50
x - 8x = 50 - 5
-7x = 45
x = - 6 3/7
zalacznik2
a) pewnosci nie mam co jest tam napisane
5x -4 = - 2x + 1
5x + 2x = 1 + 4
7x = 5 /:7
x = 5/7
b) 6x = 2x - 10 = 3x + 5
8x - 3x = 5 = 10
5x = 15 /:5
x = 3
c)
4x + 2 + 5x -3 = 6x -4 - 7x + 5
9x - 6x = 7x = 1 + 3 - 2
10 x =2 /:10
x = 2/10 = 1/5
d)
5(x-7) + 2 = (-28)
5x - 35 + 2 = - 28
5x = -28 + 35 -2
5x = 5
x = 1
e)
2(x-1) + 3 (x+1) = 26
2x - 2 = 3x = 3 = 26
5x = 26 - 3 + 2
5x = 25 /: 5
x = 5
f)
8x + 5 = 2 (4x + 2,5)
8x + 5 = 8x + 5
8x - 8x = 5-5
0 = 0
prawda, rozwiazaniem jest kazda liczba rzeczywista
g)
(x + 4)/2 - 5 = (-3) /*2
x + 4 - 10 = -6
x = -6 + 10 -4
x = 0
zal 3
i)
(3x +2)/4 + 5 = (2x +1 )/3 /*4
3x +2 +20 = 4(2x+1)/3 /*3
9x + 6 + 60 = 8x +4
9x - 8x = 4 - 66
x = - 62
j)
(2x + 1 -3)/4 = x/5 /*4
2x - 2 = 4x/5 /*5
10x - 10 = 4x
10x - 4x = 10
6x = 10 /:6
x = 10/6 = 1 2/3
k)
18 - 3(x + 9) = (-3) (3 + x)
18 - 3x - 27 = -9 - 3x
-3x + 3x = -9 + 27 - 18
0 = 0
to rownanie spelniaja wszystkie liczby rzeczywiste
l)
(12-x)/4 = (x+4)/12
(36 - 3x)/12 = (x+4)/12 /*12
36 - 3x = x + 4
-3x - x = 4 - 36
- 4x = - 32
x = 8
#L)
5x - 6 ( x+7) = 8x - 9 (10 + x)
5x - 6x - 42 = 8x - 90 - 9x
-x - 8x + 9x = - 90 + 42
0x = -48 falsz
m)
x/3 = (2x - 5)/6
2x/6 = (2x - 5)/6
2x = 2x -5
2x - 2x = -5
0 = -5
falsz
nie ma rozw.
n)
(x+3)/2 = (x+1)/3
(3x +9)/6 = (2x +2)/6 /*6
3x +9 = 2x +2
3x - 2x = 2 - 9
x = -7
o)
2x (5 + x) -2 = 6 (x-2) + 2x²
10 x + 2x² -2 = 6x - 12 + 2x²
10x + 2x² - 6x - 2x² = -12 +2
4x = -10
x = - 10/4 = - 2 1/2
p)
(2x +3)/5 = (2-x)/3 - x
(6x +9)/15 = (10 - 5x)/15 - x /* 15
6x + 9 = 10 - 5x - x
6x + 5x - x = 10 -9
10 x = 1
x = 1/10
r)
(x+1)/2 - (x-1)/3 = 1/4
(6x +6)/12 - ( 4x -4)/12 = 3/12 /* 12
6x + 6 - 4x + 4 = 3
2x = 3-4-6
2x = -7
x = - 7/2
x = - 3 1/2