Question

Considerando U = ℚ, resolvendo a equação 5(m-2)/2 - 2(m+4)/3 = 3(m-1)/2< encontramos o valor de m igual:
(Com calculos pfv!)

Answer 1

$\frac{5(m-2)}{2} - \frac{2(m+4)}{3} = \frac{3(m-1)}{2} \\ \\ \frac{5m-10}{2}- \frac{2m-8}{2}= \frac{3m-3}{2} \\ \\ \frac{5m}{2} - 5- \frac{2m}{3} - \frac{8}{3}= \frac{3m}{2} - \frac{3}{2} \\ \\ \frac{5m}{2} -\frac{2m}{3}= \frac{3m}{2} + \frac{37}{6} \\ \\ \frac{m}{3} = \frac{37}{6} \\ \\ m= \frac{37}{2} \\ \\ m=18,5 \\ alternativa B$