Question

Qual o resultado da equação com MMC x/6 - x-9/8 = x+5/2

Answer 1

Resposta:

Explicação passo-a-passo:

$\displaystyle \frac{x}{6} -x-\frac{9}{8} =x+\frac{5}{2} \\\\\\mmc(6,8,2)\\6,8,2|2\\3.4,1|2\\3,2,1|2\\3,1,1|3\\1,1,1\\mmc(6,8,2)=2.2.2.3=24$

$\displaystyle \frac{4x-24x-27}{24}=\frac{24x+60}{24} \\\\\\\frac{-20x-27}{\diagup\!\!\!\!\!\!24}=\frac{24x+60}{\diagup\!\!\!\!\!\!24} \\\\24x+20x=-60-27\\44x=-87\\\\x=-\frac{87}{44}$