Rozwiąż nierówność a) 2(x-1)+3<5x+2 b) Rozwiąz układy równań: x-2y=1 2x-y=-3 b) x+2y=1 2x-y=-3

a) 2(x-1)+3<5x+2 2x-5x<2+2-3 -3x<1 x>-1/3 b) x-2y=1 2x-y=-3 x=1+2y 2+4y-y=-3 x=1+2y -3y=-5 x=1+2y y=3/5 x=2+ 1/5 y=1 c) x=1-2y 2-4y-y=-3 x=1-2y -5y=-5 x=-1 y=1

a) 2(x-1)+3 < 5x+2 2x-2+3 < 5x+2 2x+1 < 5x+2 1-2 < 5x-2x 3x > -1 |:3 x > -1/3 b) x-2y = 1 2x-y = -3 x = 1+2y 2(1+2y)-y = -3 x = 1+2y 2+4y-y = -3 x = 1+2y 3y = -3-2 x = 1+2y 3y = -5 |:3 x = 1+2y y = -1i2/3 x = 1+2*-1i2/3 y = -1i2/3 x = 1-3i1/3 y = -1i2/3 x = -2i1/3 y = -1i2/3 b) x+2y = 1 2x-y = -3 x = 1-2y 2(1-2y)-y = -3 x = 1-2y 2-4y-y = -3 x = 1-2y 2-5y = -3 x = 1-2y 2+3 = 5y x = 1-2y 5y = 5 |:5 x = 1-2y y = 1 x = 1-2*1 y = 1 x = 1-2 y = 1 x = -1 y = 1