Rozwiaz równania: a) 2x-5-x-3=8 b) 6-x-x/2=4 c) 3/4x-x-1=0 d) 1/5x+3=5-1/2x​

Odpowiedź :

Odpowiedź:

a) 2x-5-x-3=8

2x-x = 8+5+3

x = 16

b) 6-x-x/2=4

-x-1/2x = 4-6

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

x = 4/3 = 1 1/3

c) 3/4x-x-1=0

3/4x-x = 1

-1/4x = 1 | *(-4)

x = -4

d) 1/5x+3=5-1/2x

1/5x+1/2x = 5-3

2/10x+5/10x = 2

7/10x = 2 | *10/7

x = 20/7 = 2 6/7

Szczegółowe wyjaśnienie:

Licze na naj

Odpowiedź:

a) 2x-5-x-3=8 2x-x=8+5+3

x=16

b)

[tex]6 - x - \frac{x}{2} = 4 \: \: \: \: \: \: \: \: \: \: \times 2[/tex]

[tex]2 \times 6 - 2 \times x - 2 \times \frac{x}{2} = 2 \times 4[/tex]

[tex]12 - 2x - x = 8[/tex]

[tex] - 3x = 8 - 12[/tex]

[tex] - 3x = - 4 \: \: \: \: \: \: \: \div - 3[/tex]

[tex]x = \frac{4}{3} [/tex]

[tex]x = 1 \frac{1}{3} [/tex]

c)

[tex] \frac{3}{4} x - x - 1 = 0[/tex]

[tex] - \frac{1}{4} x = 1 \: \: \: \: \: \: \div - \frac{1}{4} [/tex]

[tex]x = - 4[/tex]

d)

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

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

[tex] \frac{2}{10} x + \frac{5}{10} x = 2[/tex]

[tex] \frac{7}{10} x = 2 \: \: \: \: \: \: \: \: \div \frac{7}{10} [/tex]

[tex]x = 2 \frac{6}{7} [/tex]