rozwiąż równanie
e) - 2x(2x-1)=x/3
f)2/5(3-x)=-2
g) 3/4(2-3x)=-6
h)1/5(x-3)=9-x
i) 0,6+x/2=x+1​



Rozwiąż Równanie E 2x2x1x3f253x2g 3423x6h15x39xi 06x2x1 class=

Odpowiedź :

MertB

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Rozwiąż równanie.

e)

[tex] - 2(2x - 1) = \frac{x}{3} \\ - 4x + 2 = \frac{x}{3} \\ - 12x + 6 = x \\ - 12x - x = - 6 \\ - 13x = - 6 \div | - 13 \\ \boxed{ x = \frac{6}{13} }[/tex]

f)

[tex] \frac{2}{5} (3 - x) = - 2 \\ 3 - x = - 5 \\ - x = - 5 - 3 \\ - x = - 8 \\ \boxed{x = 8}[/tex]

g)

[tex] \frac{3}{4} (2 - 3x) = - 6 \\ 2 - 3x = - 8 \\ - 3x = - 8 - 2 \\ - 3x = - 10 \div | - 3 \\ \boxed{x = \frac{10}{3} }[/tex]

h)

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

i)

[tex] \frac{0.6 + x}{2} = x + 1 \\ \frac{ \frac{3 {}}{5 } + x} {2} = x + 1 \\ \frac{ \frac{3 + 5x}{5} }{2} = x + 1 \\ \frac{3 + 5x}{10} = x + 1 \\ \\ 3 + 5x = 10x + 10 \\ 5x - 10x = 10 - 3 \\ - 5x = 7 \\ \boxed{x = - \frac{7}{5} }[/tex]

Odpowiedź:

e)

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

-4x + 2 = 1/3x

-4x - 1/3x = -2

-4 1/3x = -2

-13/3x = -2          /*(-3/13)

x = 2 * 3/13 = 6/13

f)

2/5(3 - x) = -2

6/5 - 2/5x = -2

-2/5x = -2 - 1 1/5     /*(-5/2)

x = 5/2 * 3 1/5 = 5/2 * 16/5 = 8

g)

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

3/2 - 9/4x = -6

-9/4x = -6 - 3/2    /*(-4/9)

x = 7 1/2 * 4/9 = 15/2 * 4/9 = 10/3 = 3 1/3

h)

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

1/5x - 3/5 = 9 - x

1/5x + x = 9 + 3/5

1 1/5x = 9 3/5

6/5x = 48/5        /*5/6

x = 48/5 * 5/6 = 8

i)

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

0,3 + 1/2x = x + 1

0,5x - x = 1 - 0,3

-0,5x = 0,7      /:(-0,5)

x = -0,7/05 = -1,4

Szczegółowe wyjaśnienie: