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proszę na jutro zad 10/195 matematyka daje naj plss ​



Proszę Na Jutro Zad 10195 Matematyka Daje Naj Plss class=

Odpowiedź :

123bodzio

Odpowiedź:

a)

1/3x - 2 = x + 2 | * 3

x - 6 = 3x+ 6

x - 3x = 6 + 6

- 2x = 12

2x = -12

x = -12/2 = - 6

b)

1 - 6/7x = 4/7 | * 7

7 - 6x = 4

- 6x = 4 - 7

- 6x = - 3

6x = 3

x = 3/6 = 1/2

c)

6(1/4x - 2 ) = 18

6/4x - 12 = 18 | * 4

6x - 48 = 72

6x= 72+ 48 = 120

x = 120/6 = 20

d)

x/6 - 1/6 = 1 | * 6

x - 1 = 6

x= 6 + 1 = 7

e)

-2(2x - 1) = x/3 | * 3

- 6(2x - 1) = x

- 12x + 6 = x

- 12x - x = - 6

- 13x = - 6

13x = 6

x = 6/13

f)

2/5(3 - x) = - 2 | * 5

2(3 - x) = - 10

6 - 2x = - 10

- 2x = - 10 - 6

- 2x = - 16

2x = 16

x = 16/2 = 8

g)

3/4(2 - 3x) = - 6 | * 4

3(2 - 3x) = - 24

6 - 9x = - 24

- 9x = - 24 - 6

- 9x = - 30

9x = 30

x = 30/9 = 10/3 = 3 1/3

h)

1/5(x - 3) = 9 - x | * 5

x - 3 = 5(9 - x)

x - 3 = 45 - 5x

x + 5x = 45 + 3

6x = 48

x = 48/6 = 8

i)

(0,6 + x)/2 = x + 1 | * 2

0,6 + x = 2(x + 1)

0,6 + x = 2x + 2

x - 2x = 2 - 0,6

- x = 1,4

x = - 1,4

a)

[tex]\frac{1}{3}x-2=x+2\\ \frac{1}{3}x-x=2+2\\-\frac{2}{3}x=4/:(-\frac{2}{3})\\x=4*(-\frac{3}{2})\\x=-6[/tex]

b)

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

c)

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

d)

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

e)

[tex]-2(2x-1)=\frac{x}{3}/*3\\-6(2x-1)=x\\-12x+6=x\\-12x-x=-6\\-13x=-6/:(-13)\\x=\frac{6}{13}[/tex]

f)

[tex]\frac{2}{5}(3-x)=-2/*5\\2(3-x)=-10\\6-2x=-10\\-2x=-10-6\\-2x=-16/:(-2)\\x=8[/tex]

g)

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

h)

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

i)

[tex]\frac{0,6+x}{2}=x+1/*2\\0,6+x=2x+2\\x-2x=2-0,6\\-x=1,4/:(-1)\\x=-1,4[/tex]