Rozwiąż równanie: 1/2(x-3)-1/3(y-1)=1 1/2(x-1)=1/4(y-1)=0 Pilne na zaraz . Daje najlepsze!!!

a) 1/2(x-3) - 1/3(y-1)=1 1/2x - 9/2 - 1/3y + 1/3 = 1 1/2x + (-9+2)/6 - 1/3y = 1 1/2x - 7/6 - 1/3y = 1 6 * 1/2x - 6 * 7/6 - 6 * 1/3y = 6 * 1 3x - 7 - 2y = 6 3x = 6 + 7 + 2y 3x = 13 + 2y x = 13/3 + 2/3y b) 1/2(x-1) - 1/4(y-1) = 0 1/2x - 1/2 - 1/4y + 1/4 = 0 1/2x + (-2 + 1)/4 - 1/4y = 0 1/2x - 1/4 - 1/4y = 0 4 * 1/2x - 4 * 1/4 - 4 * 1/4y = 4 * 0 2x - 1 - y = 0 2x = 1 + y x = 1/2 + y : 2 x = 1/2 + y/2

1/2(x -3) - 1/3(y - 1) = 1/ * 6 1/2(x - 1) - 1/4(y - 1) = 0 / * 4 3(x - 3) - 2(y - 1) = 6 2(x - 1) - y + 1 = 0 3x - 9 - 2y + 2 = 6 2x - 2 - y + 1 = 0 3x - 2y = 6 + 9 - 2  2x - y = 2 - 1 3x - 2y = 13 2x - y = 1 / * 2 3x - 2y = 13 4x - 2y = 2 odejmujemy równania 3x - 4x - 2y + 2y = 13 - 2 - x = 11 x = - 11 2x - y = 1 2 * (- 11) - y = 1 - 22 - y = 1 - y = 1 + 22 - y = 23 y = - 23 odp x = - 11 , y = - 23