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rozwiązanie równań 215/12​

Rozwiązanie Równań 21512 class=

Odpowiedź :

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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