Rozwiązane

Rozwiąż równania.

a) 3 (2x + 1) + 5x = 2 (3x + 2) - 11
b) 6 (1 - x) + 2 (x + 1) = 10 - 5x

Odpowiedź :

AstraySpirit2308viz

a)

3(2x + 1) + 5x = 2(3x + 2) - 11

6x + 3 + 5x = 6x + 4 - 11

11x + 3 = 6x - 7

11x - 6x = -7 - 3

5x = -10 / : 5

x = -2

b)

6(1 - x) + 2(x + 1) = 10 - 5x

6 - 6x + 2x + 2 = 10 - 5x

-4x + 8 = 10 - 5x

-4x + 5x = 10 - 8

x = 2

MatmFizykviz

[tex]3\ (2x + 1) + 5x = 2\ (3x + 2) - 11[/tex]

[tex]6x + 3 + 5x = 6x + 4 - 11[/tex]

[tex]6x + 5x - 6x = 4 - 11 - 3[/tex]

[tex]5x = -10\ |: 5[/tex]

[tex]\boxed{x = -2}[/tex]

[tex]6\ (1 - x) + 2\ (x + 1) = 10 - 5x[/tex]

[tex]6 - 6x +2x + 2 = 10 - 5x[/tex]

[tex]-6x + 2x + 5x = 10 - 6 - 2[/tex]

[tex]\boxed {x = 2}[/tex]

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