a) x+2y=3 /*(-2) 2x+3y=7 -2x-4y=-6 2x+3y=7 -y=13 y=-13 2x-39=7 2x=46 x=23 y=-13 b 3x+y=5 /*(-4) 2x+4y=8 -12x-4y=-20 2x+4y=8 -10x=-12 x=12/10 =6/5 12/5+4y=8 20y=40 y=2 x=6/5 d) 2x+2y=1 2x-2y=-1 4x=0 x=0 -2y=-1 y=1/2 x=0 e) 0,2x-0,1y=2 -2x+y=4 2x-y=20 -2x+y=4 0=24 równanie sprzeczne f) -2x+3y=0 0,4x-0,6y=0 -2x+3y=o 4x-6y=o 0=0 Równ. tożs.
a)x+2y=3 2x+3y=7 x = 3 - 2y 2(3 - 2y) + 3y = 7 x = 3 - 2y 6 - 4y + 3y = 7 x = 3 - 2y - y = 1/: (-1) x = 3 - 2y y = -1 x = 3 -2*(-1) y =-1 x = 3 + 2 y = -1 x = 5 y =-1 b)3x+y=5 2x+4y=8 y = 5 - 3x 2x + 4(5 - 3x) = 8 y = 5 - 3x 2x + 20 - 12x = 8 y = 5 - 3x -10x = 8 - 20 y = 5 - 3x -10x = -12/: (-10) y = 5 - 3x x = 12/10 y = 5 - 3x x = 6/5 c)-x+3y=4 2x+3y=1 -x = 4 - 3y 2x + 3y = 1 -x = 4 - 3y /: (-1) 2x + 3y = 1 x = -4 + 3y 2(-4 + 3y) + 3y = 1 x = -4 + 3y -8 + 6y + 3y = 1 x = -4 + 3y 9y = 9/: 9 x = -4 + 3y y = 1 x = -4 + 3 y = 1 x = -1 y = 1