[latex]Zad.1 \ \ a). \ frac{x}{3} = frac{7}{5} \ 5x=21/:5 \ x= frac{21}{5} \ x=4 frac{1}{5} [/latex] [latex]b). \ frac{x+5}{2} = frac{7-x}{3} \ 3(x+5)=2(7-x) \ 3x+15=14-2x \ 3x+2x=14-15 \ 5x=-1/:5 \ x=- frac{1}{5} [/latex] [latex]c). \ frac{5x-2}{4} = frac{7x+1}{4} /*4 \ 5x-2=7x+1 \ 5x-7x=1+2 \ -2x=3/:(-2) \ x=- frac{3}{2} \ x=-1 frac{1}{2} [/latex] [latex]Zad.2 \ \ a). \ 64-x=3x \ -x-3x=-64 \ -4x=-64/:(-4) \ x=16[/latex] [latex]b). \ 2(3-2x)=x+31 \ 6-4x=x+31 \ -4x-x=31-6 \ -5x=25/:(-5) \ x=-5[/latex] [latex]c). \ frac{x}{2} = frac{x-1}{4}/*4 \ 2x=x-1 \ 2x-x=-1 \ x=-1[/latex] [latex]d). \ frac{x}{3} = frac{x-1}{4} - frac{1}{6} /*12 \ 4x=3(x-1)-2 \ 4x=3x-3-2 \ 4x-3x=-5 \ x=-5[/latex] [latex]e). \ 1,5x+ frac{x}{2} = frac{4-x-2}{4} \ \ 1,5x+ frac{x}{2} = frac{2-x}{4} /*4 \ \ 6x+2x=2-x \ \ 8x+x=2 \ \ 9x=2/:9 \ \ x= frac{2}{9} [/latex] [latex]f). \ 3(4,5+x)-2(x- frac{3}{4} )=4(x+5) \ 13,5+3x-2x+ frac{3}{2}=4x+20 \ 13,5+3x-2x+1,5=4x+20 \ x+15=4x+20 \ x-4x=20-15 \ -3x=5/:(-3) \ x=- frac{5}{3} \ x-=1 frac{2}{3} [/latex]
