2) [tex]-1\frac{3}{7} x=-3\frac{3}{14} \\-\frac{10}{7} x=-\frac{45}{14} | * -\frac{7}{10} \\x=\frac{1}{2} *\frac{9}{2} \\x=\frac{9}{4}[/tex]
4) [tex]3\frac{3}{5} :x=-\frac{9}{35} , x \neq 0\\\frac{18}{5}*\frac{1}{x} =-\frac{9}{35} \\\frac{18}{5x} =-\frac{9}{35} \\\frac{18*35}{5x} =-9\\-45x=630\\x=-14, x\neq 0\\x=-14[/tex]
6) [tex]|5x-1|-30=-25\\|5x-1|=-25+30\\|5x-1|=5\\x_{1} = 5x-1=5\\5x=5+1\\5x=6\\x_{1} =\frac{6}{5} \\\\x_{2} =5x-1=-5\\5x=-5+1\\5x=-4\\x_{2} =-\frac{4}{5} \\\\x_{1} =\frac{6}{5}\\x_{2} =-\frac{4}{5}[/tex]
Copyright © 2025 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
2) [tex]-1\frac{3}{7} x=-3\frac{3}{14} \\-\frac{10}{7} x=-\frac{45}{14} | * -\frac{7}{10} \\x=\frac{1}{2} *\frac{9}{2} \\x=\frac{9}{4}[/tex]
4) [tex]3\frac{3}{5} :x=-\frac{9}{35} , x \neq 0\\\frac{18}{5}*\frac{1}{x} =-\frac{9}{35} \\\frac{18}{5x} =-\frac{9}{35} \\\frac{18*35}{5x} =-9\\-45x=630\\x=-14, x\neq 0\\x=-14[/tex]
6) [tex]|5x-1|-30=-25\\|5x-1|=-25+30\\|5x-1|=5\\x_{1} = 5x-1=5\\5x=5+1\\5x=6\\x_{1} =\frac{6}{5} \\\\x_{2} =5x-1=-5\\5x=-5+1\\5x=-4\\x_{2} =-\frac{4}{5} \\\\x_{1} =\frac{6}{5}\\x_{2} =-\frac{4}{5}[/tex]