[latex]\e) \frac{3x-5}{2}-frac{5x-1}{10}=0/*10 \ \5(3x-5)-(5x-1)=0 \ \15x-25-5x+1=0 \ \10x=24 /:10 \ \x=2,4 \f) \frac x2=frac25(4-x)-4 \ \0,5x=1,6-0,4x-4 \ \0,5x+0,4x=-2,4 /:0,9 \ \x=-frac{24}{9}=-frac83=-2frac23[/latex] [latex]\g) \frac{2x-1}{5}-frac{x-2}{2}=0,7x/*10 \ \2(2x-1)-5(x-2)=7x \ \4x-2-5x+10-7x=0 \ \-8x=-8 \ \x=1[/latex]
E) [latex] frac{3x-5}{2} [/latex] - [latex] frac{5x-1}{10} [/latex] = 0 [latex] frac{15x- 25}{10} [/latex] - [latex] frac{5x-1}{10} [/latex] = 0 [latex] frac{(15x-25)-(5x-1)}{10} =0[/latex] [latex] frac{15x-25-5x+1}{10} [/latex]=0 [latex] frac{10x-24}{10} = 0 [/latex] razy 10 100x-240 = 0 100x=240 podzielić na 100 x=2,4 F) [latex] frac{x}{2} [/latex] = [latex] frac{2}{5} [/latex](4-x) - 4 [latex] frac{x}{2} [/latex] = [latex] frac{8}{5} - frac{2}{5} x[/latex] - 4 [latex] frac{x}{2} = -frac{12}{5} - frac{2}{5}x [/latex] razy 5 [latex] frac{5x}{2} = -12 - 2x[/latex] razy 2 5x=-24 - 4x 5x+4x = -24 9x= -24 podzielić przez 9 x =- [latex] frac{24}{9} [/latex] x= -[latex] frac{8}{3} [/latex] x=-2[latex] frac{2}{3} [/latex] G) [latex] frac{2x-1}{5} [/latex] -[latex] frac{x-2}{2} [/latex] = 0,7x razy 10 (4x-2) - (5x - 10) = 7x 4x-2-5x+10=7x -x+8=7x 8=7x+x 8=8x podzielić przez 8 1=x