Question

2) Resolva as equações no caderno, no conjunto dos números racionais.

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Answer 1

Resposta:

Explicação passo a passo:

$a)$

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

$mmc(2;4)=4$

$\frac{2x}{4}+\frac{x}{4}=\frac{2.(x+6)}{4}$

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

$3x=2x+12$

$3x-2x=12$

$x=12$

$b)$

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

$\frac{x-3}{2} +\frac{6x}{2}=\frac{5x+27}{2}$

$\frac{x-3+6x}{2}= \frac{5x+27}{2}$

$7x-3=5x+27$

$7x-5x=27+3$

$2x=30$

$x=30/2$

$x=15$