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plssss daje dużo punktów <3​

Plssss Daje Dużo Punktów Lt3 class=

Odpowiedź :

a)

[tex] \frac{2x + 3}{5} = \frac{2 - x}{3} - x | \times 15 \\ 6x + 9 = 10 - 5x - 15x \\ 6x + 5x + 15x = 10 - 9 \\ 26x = 1 \\ x = \frac{1}{26} [/tex]

b)

[tex] \frac{x + 1}{2} - \frac{x - 1}{3} = \frac{1}{4} | \times 12 \\ 6x + 6 - 4x + 4 = 3 \\ 2x = 3 - 10 \\ 2x = - 7 \\ x = - 3.5[/tex]

c)

[tex] \frac{4x + 7}{2} - \frac{5x -1 }{6} = x + 5 | \times 6 \\ 12x + 21 - 5x + 1 = 6x + 30 \\ 7x - 6x = 30 - 22 \\ x = 8[/tex]

d)

[tex] \frac{x + 5}{4} - \frac{2x + 1}{8} = \frac{1}{2} (2 - x) \\ \frac{x + 5}{4} - \frac{2x + 1}{8} = 1 - \frac{1}{2} x | \times 8 \\ 2x + 10 - 2x - 1 = 8 - 4x \\ 4x = - 1 \\ x = - \frac{1}{4} [/tex]

Odpowiedź:

Szczegółowe wyjaśnienie:

a)    /•15   to    3(2x + 3) = 5(2 - x) - 15x     to

6x + 9= 10 - 5x - 15x   to

26x  = 1    /:26   to      x = 1/26

b)      /•12   to   6(x + 1) - 4(x - 1) = 3   to

6x + 6 -4x + 1  = 3    to  2x = 3 - 6 - 1   to   2x = - 4   /:2     to  

x = - 4/2  = -2

c)    /•12    to    6(4x + 7) - 2(5x - 1) = 12x  + 60

24x + 42 -10x + 2 = 12x + 60

24x - 10x - 12x = 60 - 42 - 2

2x = 16    /:2    to    x = 16/2 = 8

d)    /•8    to    2(x + 5) - (2x + 1) = 4(2 - x)

2x + 10  - 2x - 1 = 8 - 4x

4x = 8 - 10 + 1

4x = - 1    /:4     to     x = - 1/4