Odpowiedź:
1) - 3 x = 12 / : ( - 3)
x = - 4
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2) x + 2,5 = 7,25
x = 7,25 - 2,5
x = 4,75
3) 4 x - 5,5 =10,5
4 x = 10,5 + 5,5
4 x = 16 / : 4
x = 4
4 ) -2 x + 4 = - 10
-2 x = - 10 - 4
-2 x = - 14 / : (-2)
x = 7
5) [tex]\frac{1}{2} x - \frac{5}{3} = \frac{1}{3} x - 1 \frac{1}{2}[/tex] / * 6
6*[tex]\frac{1}{2} x - 6*\frac{5}{3} = 6*\frac{1}{3} x - 6*\frac{3}{2}[/tex]
3 x - 10 = 2 x - 9
3 x -2 x = - 9 + 10
x = 1
6 ) 3 x + 8 = 10 x + 57
3 x - 10 x = 57 - 8
- 7 x = 49 / : ( -7)
x = - 7
=======
7 )
[tex]\frac{x + 2}{3} + 1 = \frac{1}{2} + x[/tex] / * 6
2*(x + 2) + 6 = 3 + 6 x
2 x + 4 + 6 = 3 + 6 x
2 x - 6 x = 3 - 10
- 4 x = - 7 / : ( -4)
x = [tex]\frac{7}{4}[/tex] = [tex]1 \frac{3}{4}[/tex]
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Verified answer
Odpowiedź:
1) - 3 x = 12 / : ( - 3)
x = - 4
======
2) x + 2,5 = 7,25
x = 7,25 - 2,5
x = 4,75
======
3) 4 x - 5,5 =10,5
4 x = 10,5 + 5,5
4 x = 16 / : 4
x = 4
======
4 ) -2 x + 4 = - 10
-2 x = - 10 - 4
-2 x = - 14 / : (-2)
x = 7
======
5) [tex]\frac{1}{2} x - \frac{5}{3} = \frac{1}{3} x - 1 \frac{1}{2}[/tex] / * 6
6*[tex]\frac{1}{2} x - 6*\frac{5}{3} = 6*\frac{1}{3} x - 6*\frac{3}{2}[/tex]
3 x - 10 = 2 x - 9
3 x -2 x = - 9 + 10
x = 1
======
6 ) 3 x + 8 = 10 x + 57
3 x - 10 x = 57 - 8
- 7 x = 49 / : ( -7)
x = - 7
=======
7 )
[tex]\frac{x + 2}{3} + 1 = \frac{1}{2} + x[/tex] / * 6
2*(x + 2) + 6 = 3 + 6 x
2 x + 4 + 6 = 3 + 6 x
2 x - 6 x = 3 - 10
- 4 x = - 7 / : ( -4)
x = [tex]\frac{7}{4}[/tex] = [tex]1 \frac{3}{4}[/tex]
=====================
Szczegółowe wyjaśnienie: