Proszę o pomoc :) Rozwiąż równania i sprawdź: 31/2x-2=1/2x-1 0,2x+2=-3-0,8x 2(x-1)=x+3

[latex] frac{31}{2} x-2= frac{1}{2} x-1[/latex] 31x-4=x-2 30x=2 [latex]x= frac{2}{30}= frac{1}{15} [/latex] Sprawdzenie [latex] frac{31}{2} frac{1}{15} -2= frac{1}{2} frac{1}{15} -1 [/latex] [latex] frac{31}{30}- frac{60}{30}= frac{1}{30}- frac{30}{30} [/latex] [latex] -frac{29}{30} =- frac{29}{30} [/latex] 0,2x+2=-3-0,8x 0,2x+0,8x=-3-2 x=-5 Sprawdzenie 0,2·(-5)+2=-3-0,8·(-5) -1+2=-3+4 1=1 2(x-1)=x+3 2x-2=x+3 2x-x=3+2 x=5 Sprawdzenie 2(5-1)=5+3 2·4=8 8=8

[latex]1.\\frac{31}{2}x - 2 = frac{1}2}x - 1\\frac{31}{2}x-frac{1}{2}x = -1+2\\frac{30}{2}x = 1\\15x = 1 /:15\\x = frac{1}{15}[/latex] [latex]Spr.\\L = frac{31}{2}*frac{1}{15}-2 = frac{31}{30}-frac{60}{30} = -frac{29}{30}\\P = frac{1}{2}*frac{1}{5}-1 = frac{1}{30}-frac{30}{30} = -frac{29}{30}\\L = P[/latex] [latex]2.\\0,2x + 2 = -3-0,8x\\0,2x+0,8x = -3-2\\x = -5[/latex] [latex]Spr.\\L = 0,2*(-5) + 2 = -1+2 = 1\\P = -3-0,8*(-5) = -3+4 = 1\\L = P[/latex] [latex]3.\\2(x-1) = x+3\\2x-2 = x+3\\2x-x = 3+2\\x = 5[/latex] [latex]Spr.\\L = 2(5-1)= 2*4 = 8\\P = 5+3 = 8\\L = P[/latex]