Question

1- Resolva as equações fracionárias:
a- $\frac{3}{x}$ + $\frac{2}{5}$ = $\frac{3}{4}$
b- $\frac{1}{3}$ +$\frac{2}{x+1}$ = $\frac{1}{6}$

Answer 1

~$a)\\\\~ \frac{3}{x} +\frac{2}{5}=\frac{3}{4}~ \\\\~mmc=20x~~~ \\\\\frac{60+8x=15x}{20x}\\\\60+8x=15x\\\\15x-8x=60\\\\7x=60~\\\\x=\frac{60}{7\\}\\\\b)\\\\\frac{1}{3}+\frac{2}{x+1}=\frac{1}{6}\\\\\frac{2}{x+1}=\frac{1}{6}-\frac{1}{3}  \\\\mmc=6\\\\\frac{2}{x+1} =\frac{1-2}{6}\\\\\frac{2}{x+1} =\frac{-1}{6}\\\\-1(x+1)=2.6\\\\-x-1=12\\\\-x=13.(-1)\\\\x=-13$