Rozwiąż układ równań metodą przeciwnych współczynników: 2(x-2)+4(y-3)=-2 x-y=-2 2x+3y=15 3(x-2)-(4-y)=2

2(x-2)+4(y-3)=-2 x-y=-2 2x - 4 + 4y - 12 = -2 x - y = -2 2x + 4y = -2 +4 +12 x - y = -2 2x + 4y = 14 x - y = -2 |*4 2x + 4y = 14 4x -4y = -8 6x = 6|:6 x = 1 x - y = -2 1 - y = -2 -y = -2-1 y = 3 2x+3y=15 3(x-2)-(4-y)=2 2x + 3y = 15 3x - 6 - 4 + y = 2 2x + 3y = 15 3x + y = 2 + 6 + 4 2x + 3y = 15 3x + y = 12 |*(-3) 2x + 3y = 15 -9x - 3y = -36 -7x = -21 |: (-7) x = 3 2x + 3y = 15 2*3 + 3y = 15 3y = 15 - 6 3y = 9 |:3 y = 3

2(x-2) + 4(y-3) = -2 x-y=-2 2x -4 +4y -12 = -2 x-y = -2 2x +4y = -2 +16 x-y = -2 2x +4y = 14 x-y=-2 |*(-2) 2x+4y = 14 -2x -2y = -4 2y = 10 | :2 y= 5 y=5 x-5=-2 y=5 x= -2+5 y=5 x= 3 2x+3y=15 3(x-2)-(4-y)=2 2x+3y=15 3x -6 -(4+y)=2 2x+3y=15 3x-6 -4 +y=2 2x+3y=15 3x -10 +y =2 2x+3y=15 3x +y= 2 +10 2x+3y=15 3x+y= 12 |* (-3) 2x+3y=15 -9x -3y=-36 -7x= -21 |:(-7) x= 3 x=3 2x+3y=15 x=3 2*3+3y=15 x=3 6+3y=15 x=3 3y=15-6 x=3 3y=9|:3 x=3 y=3 :)) koniec