Răspuns :
a)
[tex]x + \frac{1}{7} = \frac{8}{7} \\ x = \frac{8}{7} - \frac{1}{7} \\ x = \frac{8 - 1}{7} \\ x= \frac{7}{7} \\ \orange{\boxed{ x = 1}}[/tex]
b)
[tex]x - \frac{1}{3} = \frac{5}{3} \\ x = \frac{5}{3} + \frac{1}{3} \\ x = \frac{5 + 1}{3} \\ x = \frac{6}{3} \\ \blue{\boxed{x = 2}}[/tex]
c)
[tex]x + \frac{1}{6} = \frac{7}{6} \\ = \frac{7}{6} - \frac{1}{6} \\ x = \frac{7 - 1}{6} \\ x = \frac{6}{6} \\ \purple{ \boxed{x = 1}}[/tex]
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Răspuns:
a) x + 1/7 = 8/7
x = 8/7 - 1/7
x = 7/7
x = 1
b) x - 1/3 = 5/3
x = 5/3 + 1/3
x = 6/3
x = 2
c) x + 1/6 = 7/6
x = 7/6 - 1/6
x = 6/6
x = 1
d) 1/4 + 2x = 1 3/4
1/4 + 2x = 7/4
2x = 7/4 - 1/4
2x = 6/4
2x = 3/2
2x : 2 = 3/2 : 2
x = 3/2 : 2
x = 3/2 × 2
x = 3/4 = 0,75
e) 3/8 - 3x = 2 5/8
3/8 - 3x = 21/8
-3x = 21/8 - 3/8
-3x = 18/8
-3x = 9/4
-3x : ( -3 ) = 9/4 : ( -3 )
x = - 9/4 : 3
x = - 9/4 × 1/3
x = - 3/4 = - 0,75
f) 5/9 - 5x = 2 2/9
5/9 - 5x = 20/9
-5x = 20/9 - 5/9
-5x = 15/9
-5x = 5/3
-5x : ( - 5 ) = 5/3 : ( - 5 )
x = -5/3 : 5
x = -5/3 × 1/5
x = -1/3 = -0,3