Question

1) Resolva a equação (-2x+7)/3 - (4x-3)/4 = (-5x+1)/6 no conjunto do números reais.
Sua resposta​

Answer 1

Resposta:

$\sf \dfrac{- 2x + 7}{3 } - \dfrac{4x - 3}{4} = \dfrac{-5x + 1}{6} \\\\\\\dfrac{4(- 2x + 7)}{12 } - \dfrac{3(4x - 3)}{12} = \dfrac{1(-5x + 1)}{12}$

$\sf 4(-2x + 7) -3(4x - 3) = 1(- 5x + 1)\\\\-8x+ 28 - 12x + 9 = - 5x +1 \\\\- 8x - 12x + 5x = + 1 - 28 - 9\\- 20x + 5x = + 1 - 37\\- 15x = - 36\\\\x = \dfrac{-36}{- 15} \\\\x = 2,4$

Explicação passo-a-passo:

O mmc de (3; 4; 6) = 12