Question

Equações de 1º grau.
a) $\frac{2x-1}{10}$ - 2 = $\frac{1}{5\\}$ - $\frac{1+x}{4}$




b) $\frac{-1}{3}$ x + 2 = 1 - $\frac{x}{2}$

Answer 1

Resposta:

a) x = -41

b) x = 1

Explicação passo-a-passo:

$a) \ \frac{2x-1}{10}-2=\frac{1}{5}-\frac{1+x}{4}=\\\frac{4x-42}{20}=\frac{-1+5x}{20}\\(4x-42)20=20(-1+5x)=\\80x-840=-20+100x=\\80x-100x=-20+840=\\-20x=820*(-1)=\\20x=-820=\\x=-\frac{820}{20}=\\x=-41\\\\b) \ (\frac{-1}{3})x+2=1-\frac{x}{2}=>\frac{-x-2}{3}=1-\frac{x}{2}=\\\frac{-2x-4}{6}=\frac{3-3x}{6}=\\(-2x-4)6=6(3-3x)=\\-12-24=18-18x=\\-12x+18x=18+24=\\6x=6=\\x=\frac{6}{6}=\\x= 1$