rozwiązanie równań 215/12

Odpowiedź:
[tex]a)\\\\\frac{1}{2}x-4=x-6\ \ /*2\\\\x-8=2x-12\\\\x-2x=-12+8\\\\-x=-4\ \ /*(-1)\\\\x=4[/tex]
[tex]b)\\\\x-5=\frac{1}{3}x+1\ \ /*3\\\\3x-15=x+3\\\\3x-x=3+15\\\\2x=18\ \ /:2\\\\x=9[/tex]
[tex]c)\\\\\frac{x}{4}-\frac{1}{4}=2\ \ /*4\\\\x-1=8\\\\x=8+1\\\\x=9[/tex]
[tex]d)\\\\\frac{x}{5}-3=x+\frac{1}{5}\ \ /*5\\\\x-15=5x+1\\\\x-5x=1+15\\\\-4x=16\ \ /:(-4)\\\\x=-4[/tex]
[tex]e)\\\\\frac{5}{6}(x-1)=4\\\\\frac{5}{6}x-\frac{5}{6}=4\ \ /*6\\\\5x-5=24\\\\5x=24+5\\\\5x=29\ \ /:5\\\\x=\frac{29}{5}\\\\x=5\frac{4}{5}[/tex]
[tex]f)\\\\-\frac{1}{2}(-x-6)=-x\\\\\frac{1}{2}x+3=-x\ \ /*2\\\\x+6=-2x\\\\x+2x=-6\\\\3x=-6\ \ /:3\\\\x=-2[/tex]
Odpowiedź:
a) 1/2x - 4 = x - 6 / + 6x
1/2 x + 2 = x / - 1/2x
2 = 1/2x
x =4
b) x - 5 = 1/3x + 1 /+5
x = 1/3x + 6 / -1/3x
2/3x = 6
x= 9
c) x/4 - 1/4 =2 / *4
x - 1 = 8 / + 1
x = 9
d) x/5 - 3 = x + 1/5 / * 5
x - 3 = 5x + 1 / + 3
x = 5x + 4 / - 4
x - 4 = 5x / - x
- 4 = 4x
x = - 1
e)
5/6 (x-1) = 4 /*6
5 (x - 1 ) = 24
5x - 5 = 24 / + 5
5x = 29 / :5
x = 5.8
f) - 1/2 (-x - 6 ) = - x / * 2
-1 (-x - 6) = - 2x
x + 6 = - 2x / - 6
x = - 6 - 2x / + 2x
3x = - 6 / : 3
x = - 2
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