Question

resolva as equaçoes: A)x/2+x/3-x/4=14 B) x+x/2+3x/4=18

Answer 1

a) $\frac{x}{2} + \frac{x}{3} - \frac{x}{4} = 14$

Calculando o MMC, teremos:

$\frac{x}{2} + \frac{x}{3} - \frac{x}{4} = 14 \\ \\ \frac{ \frac{12}{2}x + \frac{12}{3}x - \frac{12}{4}x}{12} = \frac{ \frac{12}{1}14 }{12} \\ \\ 6x + 4x - 3x = 168 \\ \\ 10x - 3x = 168 \\ \\ 7x = 168 \\ \\ x = \frac{168}{ 7} \\ \\ x = 24$




b) $x + \frac{x}{2} + \frac{3x}{4} = 18$

Calculando o MMC, teremos:

$x + \frac{x}{2} + \frac{3x}{4} = 18 \\ \\ \frac{ \frac{4}{1}x + \frac{4}{2}x + \frac{4}{4}3x }{4} = \frac{ \frac{4}{1}18 }{4} \\ \\ 4x + 2x + 3x = 72 \\ \\ 9x = 72 \\ \\ x = \frac{72}{9} \\ \\ x = 8$