Question

Resolva as questões no caderno, no conjunto universo dos números racionais​

Answer 1

Resposta:

a) $x=12$;  b) $x=15$;  c) x=10;  d) $x=-\frac{7}{2}$

Explicação passo a passo:

a)

$\frac{x}{2} +\frac{x}{4} =\frac{x+6}{2}$

$x+\frac{x}{2} =x+6$

$2x+x=2x+12$

$3x=2x+12$

$x=12$

b)

$\frac{x-3}{2} +3x=\frac{5x+27}{2}$

$x-3+6x=5x+27$

$7x=5x+30$

$2x=30$

$x=15$

c)

$\frac{2x+8}{2} +\frac{x+2}{4} =-8$

$2x+8+\frac{x+2}{2} =-16$

$4x+16+x+2=-32$

$5x+18=-32$

$5x=50$

$x=10$

d)

$\frac{x-1}{5} =x-\frac{2x-6}{5}$

$x-1=5x-2x+6$

$x-1=3x+6$

$3x-x=-6-1$

$2x=-7$

$x=-\frac{7}{2}$