a) 2x+3=7
2x=7-3
2x=4
x = 2
SPR: 2x+3=7
2*2+3=7
7=7
b) 4-3x=-5
-3x=-5-4
-3x=-9
x = 3
SPR: 4-3x=-5
4-3*3=-5
-5=-5
c) 4x+5-x=7
4x-x=7-5
3x=2
x=2/3
SPR: 4x+5-x=7
4* 2/3 +5 - 2/3 = 7
7 = 7
d) 3x-6=12
3x=12+6
3x=18
x = 6
SPR: 3x-6=12
3*6-6=12
12=12
e) 10=4-2x
2x=4-10
2x=-6
x=-3
SPR: 10=4-2x
10=4-2*-3
10 = 10
a)
2x + 3 = 7
2 x + 3 - 3 = 7 - 3
2x = 4
sprawdzenie:
b)
4 - 3x = -5
4 - 3x + 5 = -5 + 5
9 - 3x + 3x = 3x
9 = 3x
c)
4x + 5 - x = 7
3x + 5 = 7
3x + 5 - 5 = 7 - 5
3x = 2
x =
d)
3 x - 6 = 12
3x - 6 + 6 = 12 + 6
3x = 18
e)
10 = 4 - 2x
10 + 2x = 4 - 2x + 2x
10 + 2x = 4
10 + 2x - 4 = 4 - 4
6 + 2x = 0
2x + 6 = 0
2x = -6
x = -3
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a) 2x+3=7
2x=7-3
2x=4
x = 2
SPR: 2x+3=7
2*2+3=7
7=7
b) 4-3x=-5
-3x=-5-4
-3x=-9
x = 3
SPR: 4-3x=-5
4-3*3=-5
-5=-5
c) 4x+5-x=7
4x-x=7-5
3x=2
x=2/3
SPR: 4x+5-x=7
4* 2/3 +5 - 2/3 = 7
7 = 7
d) 3x-6=12
3x=12+6
3x=18
x = 6
SPR: 3x-6=12
3*6-6=12
12=12
e) 10=4-2x
2x=4-10
2x=-6
x=-3
SPR: 10=4-2x
10=4-2*-3
10 = 10
a)
2x + 3 = 7
2 x + 3 - 3 = 7 - 3
2x = 4
x = 2
sprawdzenie:![2 \cdot 2 + 3 = 7 2 \cdot 2 + 3 = 7](https://tex.z-dn.net/?f=2+%5Ccdot+2+%2B+3+%3D+7)
b)
4 - 3x = -5
4 - 3x + 5 = -5 + 5
9 - 3x + 3x = 3x
9 = 3x
x = 3
sprawdzenie:![4 - 3 \cdot 3 = -5 4 - 3 \cdot 3 = -5](https://tex.z-dn.net/?f=4+-+3+%5Ccdot+3+%3D+-5)
c)
4x + 5 - x = 7
3x + 5 = 7
3x + 5 - 5 = 7 - 5
3x = 2
x =![\frac{2}{3} \frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
sprawdzenie:![4 \cdot \frac {2}{3} + 5 - \frac{2}{3} = 7 4 \cdot \frac {2}{3} + 5 - \frac{2}{3} = 7](https://tex.z-dn.net/?f=4+%5Ccdot+%5Cfrac+%7B2%7D%7B3%7D+%2B+5+-+%5Cfrac%7B2%7D%7B3%7D+%3D+7)
d)
3 x - 6 = 12
3x - 6 + 6 = 12 + 6
3x = 18
x = 6
sprawdzenie:![3 \cdot 6 - 6 = 12 3 \cdot 6 - 6 = 12](https://tex.z-dn.net/?f=3+%5Ccdot+6+-+6+%3D+12)
e)
10 = 4 - 2x
10 + 2x = 4 - 2x + 2x
10 + 2x = 4
10 + 2x - 4 = 4 - 4
6 + 2x = 0
2x + 6 = 0
2x = -6
x = -3
sprawdzenie:![10 = 4 - (2 \cdot (-3)) 10 = 4 - (2 \cdot (-3))](https://tex.z-dn.net/?f=10+%3D+4+-+%282+%5Ccdot+%28-3%29%29)