Question

 Resolva a equaçao x/4   +   2x/3  -  x/12  =2  +  2x/3 sendo U=Q

Answer 1

$\frac{x}{4}+\frac{2x}{3}-\frac{x}{12}=2+\frac{2x}{3}\\ \\ \frac{x}{4}-\frac{x}{12}=2\\ \\ 3x-x=24\\ \\ 2x=24\\ \\ x=12$

Answer 2

Olá, Guilherme !

$\dfrac{x}{4}+\dfrac{2x}{3}-\dfrac{x}{12}=2+\dfrac{2x}{3}$

$\dfrac{x}{4}-\dfrac{x}{12}=2$

Veja que, $\text{mmc}(4,12)=12$.

Deste modo, vamos multiplicar o numerador da fração $\dfrac{x}{4}$ por $\dfrac{12}{4}=3$:

$\dfrac{3x-x}{12}=2$

$\dfrac{2x}{12}=2$

$\dfrac{x}{6}=2$

Assim, $x=6\cdot2=12$.

$S=\{12\}$

De fato, pois:

$\dfrac{12}{4}+\dfrac{2\cdot12}{3}-\dfrac{12}{12}=2+\dfrac{2\cdot12}{3}$

$3+8-1=2+8$

$3-1=2$

Espero ter ajudado ^^