Question

3) Resolva as equações abaixo:
a) 5(x – 1) – 19 = 3(x – 2) c) x + 2( x – 9 = 0
b ) 3 (x + 2) = 5x – 8(x+2) d) 4( 3x + 3 ) – 3x = 2( 2x – 3 )

Answer 1

Resposta:

a) x = 9

b) x = -11/3

c) x = 6

d) x = -18/5

Explicação passo-a-passo:

a) 5*(x-1) - 19 = 3*(x-2) <=>

<=> 5x - 5 - 19 = 3x - 6 <=>

<=> 5x - 24 = 3x - 6 <=>

<=> 5x - 3x = -6 + 24 <=>

<=> 2x = 18 <=>

<=> x = 9

b) 3*(x+2) = 5x -8*(x+2) <=>

<=> 3x + 6 = 5x - 8x - 16 <=>

<=> 3x + 6 = -3x - 16 <=>

<=> 3x + 3x = -16 - 6 <=>

<=> 6x = -22 <=>

<=> x = -22/6 <=>

<=> x = -11/3

c) x + 2*(x-9) = 0 <=>

<=> x + 2x - 18 = 0 <=>

<=> 3x - 18 = 0 <=>

<=> 3x = 18 <=>

<=> x = 6

d) 4*(3x+3) - 3x = 2*(2x-3) <=>

<=> 12x + 12 - 3x = 4x - 6 <=>

<=> 9x + 12 = 4x - 6 <=>

<=> 9x - 4x = -6 - 12 <=>

<=> 5x = -18 <=>

<=> x = -18/5