Question

Resolva as equações fracionárias sendo U=R.
A) 4/x = 10/x+6
B) 2y-2 + 8/3y = 10
C) 7/a+4 = 35/3
D) 6/4x + 1 = 1/3x

Answer 1

A)
$\frac{4}{x} = \frac{10}{x + 6} \\ 4x + 24 = 10x \\ 6x = 24 \\ x = 4$
B)
$\frac{2y - 2 + 8}{3y} = \frac{10}{1} \\ 2y - 2 + 8 = 30y \\ 28y = - 6 \\ y = \frac{14}{3}$
C)
$\frac{7}{a + 4} = \frac{35}{3} \\ 21 = 140 + 35a \\ a = \frac{ - 109}{35}$
D)
$\frac{6}{4x + 1} = \frac{1}{3x} \\ 18x = 4x + 1 \\ 14x = 1 \\ x = \frac{1}{14}$