Question

5)resolva as equações:​

Answer 1

a) $\frac{5}{x}-2=\frac{1}{4}$

$\frac{20}{4x}-\frac{8x}{4x}=\frac{x}{4x}$

$\frac{20-8x}{4x}=\frac{x}{4x}$

$20-8x=x$

$-8x-x=-20$

$-9x=-20$

$9x=20$

$x=\frac{20}{9}$

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

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

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

$x(3x)=(3x+2)(x-4)$

$3x^2=3x^2-12x+2x-8$

$3x^2-3x^2+12x-2x=-8$

$10x=-8$

$x=-\frac{8}{10}$

$x=-\frac{4}{5}$

c) $\frac{3}{2x}-\frac{1}{6}=\frac{2}{3x}-\frac{1}{2}$

$\frac{9}{6x}-\frac{x}{6x}=\frac{4}{6x}-\frac{3x}{6x}$

$\frac{9-x}{6x}=\frac{4-3x}{6x}$

$9-x=4-3x$

$3x-x=4-9$

$2x=-5$

$x=-\frac{5}{2}$

d) $\frac{5}{x+3}=\frac{2}{3x-4}$

$5(3x-4)=2(x+3)$

$15x-20=2x+6$

$15x-2x=6+20$

$13x=26$

$x=\frac{26}{13}$

$x=2$