Rozwiąż równania a) x/3 + 1 = 5/6 +x/2 b) 2x-3 / 4= 1/2 +x c) x+2 / 9 + x-1 / 3 d) 2x+3 / 5 = 2 - x / 3 + 3 e) 3x - 5 /2 + 5x - 1 / 10 = 0 f) x/2 -1 = 2/5 ( 4 - x ) - 4 g) 2x - 1 / 5 - x-2 /2 - 0,7x h) 2x -3x + 5 / 4 = -1/4x - 1 daje naj za na

[latex]a). \ frac{x}{3} +1= frac{5}{6} + frac{x}{2} /*6 \ \ 2x+6=5+3x \ \ 2x-3x=5-6 \ \ -x=-1/*(-1) \ \ x=1[/latex] [latex]b). \ frac{2x-3}{4} = frac{1}{2} +x/*4 \ \ 2x-3=2+4x \ \ 2x-4x=2+3 \ \ -2x=5/:(-2) \ \ x=- frac{5}{2} \ \ x=-2 frac{1}{2} [/latex] [latex]c).[/latex] brak znaku = [latex]d). \ frac{2x+3}{5} =2- frac{x}{3} +3/*15 \ \ 3(2x+3)=30-5x+45 \ \ 6x+9=75-5x \ \ 6x+5x=75-9 \ \ 11x=66/:11 \ \ x=6[/latex] [latex]e). \ frac{3x-5}{2} + frac{5x-1}{10} =0/*10 \ \ 5(3x-5)+5x-1=0 \ \ 15x-25+5x-1=0 \ \ 20x-26=0 \ \ 20x=26/:20 \ \ x= frac{26}{20} \ \ x= frac{13}{10} \ \ x=1 frac{3}{10} [/latex] [latex]f). \ frac{x}{2} -1= frac{2}{5} (4-x)-4 \ \ frac{x}{2} -1= frac{8}{5} - frac{2}{5} x-4/*10 \ \ 5x-10=16-4x-40 \ \ 5x-10=-24-4x \ \ 5x+4x=-24+10 \ \ 9x=-14/:9 \ \ x=- frac{14}{9} \ \ x=-1 frac{5}{9} [/latex] [latex]g). \ frac{2x-1}{5} - frac{x-2}{2} =0,7x/*10 \ \ 2(2x-1)-5(x-2)=7 \ \ 4x-2-5x+10=7 \ \ -x+8=7 \ \ -x=7-8 \ \ -x=-1/*(-1) \ \ x=1[/latex] [latex]h). \ 2x- frac{3x+5}{4} =- frac{1}{4} x-1/*4 \ \ 8x-3x-5=-x-4 \ \ 5x+x=-4+5 \ \ 6x=1/:6 \ \ x= frac{1}{6} [/latex]