[latex]frac{3x-2y}{5} + frac{5x-3y}{3} = 4 frac{1}{3}[/latex] [latex]frac{2x-3y}{3} + frac{4x-3y}{2} = frac{5}{6}[/latex]    

[3x - 2y]/5 + [5x - 3y]/3 = 13/3    / * 15 [2x - 3y]/3 + [4x - 3y]/2 = 5/6      / * 6 ------------------------------------- 9x - 6y + 25x -  15y = 65 4x - 6y + 12x - 9y = 5 ---------------------------------- 34x - 21y = 65 / * 5 16x - 15 y = 5 / * ( -7) -------------------- 170x - 105y = 325 -112x + 105y = -35 -----------------------  dodajemy stronami 58x = 290 x = 5 ======= 15y = 16x - 5 = 16*5 - 5 = 80 - 5 = 75 y = 75 : 15 = 5 ============= Odp. x = 5  ; y = 5 ========================

(3x-2y)/(5)+(5x-3y)/(3)=4⅓  obie strony pomnóż przez 15 3(3x-2y)+5(5x-3y)=¹³/₃×15 9x-6y+25x-15y=65 34x-21y=65 .................... to jest pierwsze równanie układu doprowadzone do ładu (2x-3y)/(3)+(4x-3y)/(2)=⅚ obie strony pomnóż przez 6 2(2x-3y)+3(4x-3y)=5 4x-6y+12x-9y=5 16x-15y=5 to drugie równanie układu doprowadzone do ładu   34x-21y=65 16x-15y=5/×(-1,4)   34x-21y=65 -22,4x+21y=-7 stosuję metodę przeciwnych współczynników 11,6x=58 x=58:11,6 x=5 .......... 34×5-21y=65 170-21y=65 170-65=21y 21y=105 y=5 ..........   rozw. x=5 y=5      

(3x-2y)/5 + (5x-3y)/3 =4 1/3 (2x-3y)/3 + (4x-3y)/2 =5/6   (3x-2y)/5 + (5x-3y)/3 =13/3  I*15 (2x-3y)/3 + (4x-3y)/2 =5/6  I*6   3(3x-2y) +5(5x-3y) = 65 2(2x-3y) +3(4x-3y) = 5   9x-6y+25x-15y = 65 4x-6y+12x-9y =5   34x-21y = 65   I*5 16x -15y = 5   I*(-7)   170x-105y =325 -112x+105y = -35 + -------------------------- 58x =290/:58 x =5   15y =16x-5 15y =16 *5 -5 = 80 -5 15y =75 y =5   {x = 5} {y = 5}

OBLICZ: 3[latex]frac{1}{4} [/latex] - 2 * 0,25           = 2[latex] frac{1}{3} [/latex] * [latex] frac{1}{3} [/latex] +3,5 * 2[latex] frac{1}{4} [/latex] [(-0,3)² + 2[latex] frac{3}{7} [/latex] * [latex] frac{7}{10} [/latex] - 7] ^{0}

OBLICZ: 3[latex]frac{1}{4} [/latex] - 2 * 0,25           = 2[latex] frac{1}{3} [/latex] * [latex] frac{1}{3} [/latex] +3,5 * 2[latex] frac{1}{4} [/latex] [(-0,3)² + 2[latex] frac{3}{7} [/latex] * [latex] frac{7}{10} [/latex] - 7] ^{0}...

Prosze o szybkie rozwiązanie rówan:   [latex]frac{1}{3}x+2=3[/latex] [latex]-7(2x+1)=4[/latex] [latex]frac{3-x}{2}+frac{x+2}{2}=frac{1}{2}[/latex] [latex]frac{1}{4}x-frac{x-1}{4}=frac{1}{4}[/latex]

Prosze o szybkie rozwiązanie rówan:   [latex]frac{1}{3}x+2=3[/latex] [latex]-7(2x+1)=4[/latex] [latex]frac{3-x}{2}+frac{x+2}{2}=frac{1}{2}[/latex] [latex]frac{1}{4}x-frac{x-1}{4}=frac{1}{4}[/latex]...

rozwiaz rownania:   a)[latex]frac{5x-2}{2}+frac{3x-7}{6}=frac{1}{2} [/latex]     b)[latex]-frac{2x+3}{2}+frac{x-8}{4}=frac{1}{4}[/latex]

rozwiaz rownania:   a)[latex]frac{5x-2}{2}+frac{3x-7}{6}=frac{1}{2} [/latex]     b)[latex]-frac{2x+3}{2}+frac{x-8}{4}=frac{1}{4}[/latex]...

[latex](frac{1}{4}) ^{3} = frac{?}{?}[/latex] [latex]-(-frac{1}{5}) ^{3} = frac{?}{?} [/latex] [latex](-frac{1}{7}) ^{2} = frac{?}{?} [/latex] [latex](frac{2}{3}) ^{2} = frac{?}{?} [/latex] Prosze o rozwiązanie ;)

[latex](frac{1}{4}) ^{3} = frac{?}{?}[/latex] [latex]-(-frac{1}{5}) ^{3} = frac{?}{?} [/latex] [latex](-frac{1}{7}) ^{2} = frac{?}{?} [/latex] [latex](frac{2}{3}) ^{2} = frac{?}{?} [/latex] Prosze o rozwiązanie ;)...

[latex]frac{x-3}{5} * frac{2x^2}{x+2} ; frac{3x}{4} [/latex] [latex]frac{3x+1}{2x(x+3)} + frac{2x+3}{x^2+2x-3} [/latex] [latex]frac{2x-1}{x-3} - frac{3x+1}{9-x^2}[/latex]

[latex]frac{x-3}{5} * frac{2x^2}{x+2} ; frac{3x}{4} [/latex] [latex]frac{3x+1}{2x(x+3)} + frac{2x+3}{x^2+2x-3} [/latex] [latex]frac{2x-1}{x-3} - frac{3x+1}{9-x^2}[/latex]...