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Potrzebne na teraz.

P.S.Przykłady e i f są już zrobione



Potrzebne Na Teraz PSPrzykłady E I F Są Już Zrobione class=

Odpowiedź :

Krysia

[tex]a)\\\\ \frac{1}{3}x-2=x+2\ \ |*3\\\\x-6=3x+6\\\\x-3x=6+6\\\\-2x=12\ \ |:(-2)\\\\x=-6[/tex]

[tex]b)\\\\1- \frac{6}{7}x= \frac{4}{7}\ \ |*7\\\\7-6x=4\\\\-6x=4-7\\\\\-6x=-3\ \ |:6\\\\x=-\frac{3}{6}\\\\x=-\frac{1}{2}[/tex]

[tex]c)\\\\6( \frac{1}{4}x -2)=18\\\\\frac{6}{4}x-12=18\\\\\frac{3}{2}x=18+12\\\\\frac{3}{2}x=30\ \ |*\frac{2}{3}\\\\x=20[/tex]

[tex]d)\\\\ \frac{x}{6}- \frac{1}{6}=1\ \ |*6\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]

[tex]g)\\\\ \frac{3}{4}(2-3x)=-6\ \ |*4\\\\3(2-3x)=-24\\\\6-9x=24\\\\-9x=-24-6\\\\-9x=-30\ \ |:(-9)\\\\ x= \frac{30}{9}\\\\x=\frac{10}{3}\\\\x=3\frac{1}{3}[/tex]

[tex]h)\\\\ \frac{1}{5}( x-3)=9-x\ \ |*5 \\\\x-3=45-5x\\\\x+5x=45+3\\\\6x=48\ \ |:6\\\\x=8[/tex]

[tex]i)\\\\\frac{ 0,6 +x }{2} = x+1\ \ |*2\\\\0,6+x=2x+2\ \ |*10\\\\6+10x=20x+20\\\\10x-20x=20-6\\\\-10x=14\ \ |:(-10)\\\\x=-\frac{14}{10}\\\\x=-\frac{7}{5}\\\\x=-1\frac{2}{5}[/tex]

Ryszardczernyhowski

Odpowiedź:

a)

(1/3)x - 2 = x + 2      /•3    to   x - 6 = 3x + 6   to    x - 3x = 6 + 6    to

- 2x = 12       /:(-2)    to    x =  12/(-2)     to   x = - 6

b)    

1 - (6/7)x = 4/7     /•7     to    7 - 6x = 4     to

- 6x = 4 - 7     /•(-1)      to   6x =7 - 4   to     6x = 3   /:6  to      x = 3/6 = 1/2

c)

6[(1/4)x - 2) = 18   /:6   to    (1/4)x - 2 = 3      /• 4    to   x - 8 = 12   to  x = 12 + 8

to   x = 20  

d)  x/6 - 1/6 = 1    /•6    to    x - 1 = 6   to   x = 6 + 1    to x = 7

g)

3/4(2 - 3x) = - 6    /•4    to    3(2 - 3x) = - 24      /:3     to   2 - 3x = - 8     to

- 3x = - 8 - 2   to    - 3x = - 10     /:(-3)      to  

x = 10/3 = 9/3 + 1/3 = 3 + 1/3 = 3 1/3 = 3i1/3 (3 całe i 1/3)

h)

1/5(x - 3) = 9 - x    /•5   to   x - 3 = 45 - 5x      to    x + 5x = 45 + 3     to  

6x = 48    /:6     to    x = 48/6   to   x = 8

Szczegółowe wyjaśnienie:

a)

(1/3)x - 2 = x + 2      /•3    to   x - 6 = 3x + 6   to    x - 3x = 6 + 6    to

- 2x = 12       /:(-2)    to    x =  12/(-2)     to   x = - 6

b)    

1 - (6/7)x = 4/7     /•7     to    7 - 6x = 4     to

- 6x = 4 - 7     /•(-1)      to   6x =7 - 4   to     6x = 3   /:6  to      x = 3/6 = 1/2

c)

6[(1/4)x - 2) = 18   /:6   to    (1/4)x - 2 = 3      /• 4    to   x - 8 = 12   to  x = 12 + 8

to   x = 20  

d)  x/6 - 1/6 = 1    /•6    to    x - 1 = 6   to   x = 6 + 1    to x = 7

g)

3/4(2 - 3x) = - 6    /•4    to    3(2 - 3x) = - 24      /:3     to   2 - 3x = - 8     to

- 3x = - 8 - 2   to    - 3x = - 10     /:(-3)      to  

x = 10/3 = 9/3 + 1/3 = 3 + 1/3 = 3 1/3 = 3i1/3 (3 całe i 1/3)

h)

1/5(x - 3) = 9 - x    /•5   to   x - 3 = 45 - 5x      to    x + 5x = 45 + 3     to  

6x = 48    /:6     to    x = 48/6   to   x = 8

i)   (0,6 + x)/2 = x + 1     /a)

(1/3)x - 2 = x + 2      /•3    to   x - 6 = 3x + 6   to    x - 3x = 6 + 6    to

- 2x = 12       /:(-2)    to    x =  12/(-2)     to   x = - 6

b)    

1 - (6/7)x = 4/7     /•7     to    7 - 6x = 4     to

- 6x = 4 - 7     /•(-1)      to   6x =7 - 4   to     6x = 3   /:6  to      x = 3/6 = 1/2

c)

6[(1/4)x - 2) = 18   /:6   to    (1/4)x - 2 = 3      /• 4    to   x - 8 = 12   to  x = 12 + 8

to   x = 20  

d)  x/6 - 1/6 = 1    /•6    to    x - 1 = 6   to   x = 6 + 1    to x = 7

g)

3/4(2 - 3x) = - 6    /•4    to    3(2 - 3x) = - 24      /:3     to   2 - 3x = - 8     to

- 3x = - 8 - 2   to    - 3x = - 10     /:(-3)      to  

x = 10/3 = 9/3 + 1/3 = 3 + 1/3 = 3 1/3 = 3i1/3 (3 całe i 1/3)

h)

1/5(x - 3) = 9 - x    /•5   to   x - 3 = 45 - 5x      to    x + 5x = 45 + 3     to  

6x = 48    /:6     to    x = 48/6   to   x = 8

i)

(0,6 + x)/2 = x + 1    /•2         to

0,6 + x = 2x + 2        to      x - 2x = 2 - 0,6     to     - x = 1,4    /•(-1)     to

x = - 1,4

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