Question

1. Resolva as equações abaixo: a) 3 . ( x - 2) + 2 . (x - 5) = 3 . (x + 8) b) 2 . ( x - 6 ) = 3 . ( x - 5 ) + 6 . ( x - 9)

Answer 1

Resposta:

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

3x -6 +2x -10= 3x +24

3x -3x +2x -6 -10 -24

2x -40 =0

x= 40/2

x=20

b) 2 . ( x - 6 ) = 3 . ( x - 5 ) + 6 . ( x - 9)

2x -12 = 3x -15 +6x -54

2x -3x -6x -12 +15 +54

-7x +57=0

-7x +57=0

x= -57/7

Answer 2

Resposta:

a)

$\sf 3 . ( x - 2) + 2\cdot (x - 5) = 3$

$\sf 3x - 6 +2x - 10 = 3$

$\sf 3x + 2x - 6 - 10 = 3$

$\sf 5x - 16 = 3$

$\sf 5x = 3 + 16$

$\sf 5x = 19$

$\boxed{ \boxed{ \boldsymbol{ \sf \displaystyle x = \dfrac{19}{5} }}} \quad \gets \mathbf{ Resposta }$

b)

$\sf 2 \cdot ( x - 6 ) = 3 \cdot ( x - 5 ) + 6 \cdot ( x - 9)$

$\sf 2x - 12 = 3x - 15 + 6x - 54$

$\sf 2x - 12 = 3x + 6x - 15 - 54$

$\sf 2x - 12 = 9x - 69$

$\sf 2x - 9x = - 69 +12$

$\sf - 7x = - 57 \quad \gets \mbox{ \sf multiplicar por \textbf {menos} 1 }$

$\sf 7x = 57$

$\boxed{ \boxed{ \boldsymbol{ \sf \displaystyle x = \dfrac{57}{7} }}} \quad \gets \mathbf{ Resposta }$

Explicação passo-a-passo: