Question

pfvvv o Cálculo das equações ​

Answer 1

Resposta:

$a:\ x=12\\\\b:\ x=15\\\\c:\ x=-10\\\\d:\ x=-3,5$

Explicação passo a passo:

$a)\ \frac{x}{2}+\frac{x}{4}=\frac{x+6}{2}\\\\ 2\bullet(\frac{x}{2}+\frac{x}{4})=2\bullet(\frac{x+6}{2})\\\\x+\frac{1}{2}x=x+6\\\\2\bullet(x+\frac{x}{2})=2\bullet(x+6)\\\\2x+x=2x+12\\\\2x+x-2x=12\\\\x=12\\\\\\b)\ \frac{x-3}{2}+3x=\frac{5x+27}{2}\\\\2\bullet(\frac{x-3}{2}+3x)=2\bullet(\frac{5x+27}{2})\\\\x-3+6x=5x+27\\\\x+6x-5x=27+3\\\\2x=30\\\\x=\frac{30}{2}\\\\x=15$

$c)\ \frac{2x+8}{2}+\frac{x+2}{4}=-8\\\\ 4\bullet(\frac{2x+8}{2}+\frac{x+2}{4})=4\bullet(-8)\\\\2\bullet(2x+8)+x+2=-32\\\\4x+16+x+2=-32\\\\4x+x=-32-16-2\\\\5x=-50\\\\x=-\frac{50}{5}\\\\x=-10\\\\\\d)\ \frac{x-1}{5}=x-\frac{2x+6}{5}\\\\ 5\bullet(\frac{x-1}{5})=5\bullet(x-\frac{2x+6}{5})\\\\x-1=5x-2x+6\\\\x-5x+2x=6+1\\\\-2x=7\\\\-x=\frac{7}{2}\\\\-x=3,5\\\\x=-3,5$