Question

Resuelve las siguientes ecuaciones con valor absoluto:
B. l5x-3l=2/3
C: l3x-2/2+5l=10

Answer 1

$|5x-3|=\frac{2}{3}\\ 5x-3=-\frac{2}{3}\hspace{0.2cm}o\hspace{0.2cm}bien\hspace{0.2cm}5x-3=\frac{2}{3}\\ 5x=-\frac{2}{3}+3\hspace{0.2cm}o\hspace{0.2cm}bien\hspace{0.2cm}5x=\frac{2}{3}+3\\ 5x=\frac{7}{3}\hspace{0.2cm}o\hspace{0.2cm}bien\hspace{0.2cm}5x=\frac{11}{3}\\ x=\{\frac{7}{15},\frac{11}{15}\}\\\\|\frac{3x-2}{2+5}|=10\\\frac{3x-2}{2+5}=-10\hspace{0.2cm}o\hspace{0.2cm}bien\hspace{0.2cm}\frac{3x-2}{2+5}=10\\\frac{3x-2}{7}=-10\hspace{0.2cm}o\hspace{0.2cm}bien\hspace{0.2cm}\frac{3x-2}{7}=10\\3x-2=-70\hspace{0.2cm}o\hspace{0.2cm}bien\hspace{0.2cm}3x-2=70\\x=-\frac{68}{3}\hspace{0.2cm}o\hspace{0.2cm}bien\hspace{0.2cm}x=24$