Question

(x-1)/2+(x-3)/3=6 ??????

Answer 1

Ok , vamos lá !!

Resolução :

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

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

$\sf \dfrac{3(x - 1) + 2(x - 3) = 36}{6}$

$\sf 3(x - 1) + 2(x - 3) = 36$

$\sf 3x - 3 + 2x - 6 = 36$

$\sf 3x + 2x = 36 + 6 + 3$

$\sf 5x = 45$

$\sf x = \dfrac{45}{5}$

$\red{\sf x = 9}$

Verificando :

$\sf \dfrac{(9 - 1)}{2} + \dfrac{(9 - 3)}{3} = 6$

$\sf \dfrac{8}{2} + \dfrac{6}{3} = 6$

$\sf 4 + 2 = 6$

$\red{\sf 6 = 6}$

Bons estudos .