Odpowiedzi przesyłam w załącznikach Pozdrawiam
A) y+2-(3-x)=0 x-2=5-(2-y) y + 2 - 3 + x = 0 x - 2 = 5 - 2 + y x + y = 3 - 2 x - y = 5 - 2 + 2 x + y = 1 x - y = 5 sumujemy stronami x + y + x - y = 1 + 5 2x = 6 x = 3 x + y = 1 y = 1 - x y = 1 - 3 y = -2 B) 3(x-y)+4x=8 3(x-5y)=5-9y 3x - 3y + 4x = 8 3x - 15y +9y = 5 7x - 3y = 8 | *(-2) 3x - 6y = 5 -14x +6y = -16 3x - 6y = 5 sumujemy stronami -11x = -11 x = 1 -14x + 6y = -16 6y = -16 + 14x 6y = -16 + 14 6y = -2 y = -1/3 C) 3(2x-1)+4(y-2)=9 2(5x-1)+3y=5(3x+y)+12 6x - 3 + 4y - 8 = 9 10x - 2 + 3y = 15x + 5y + 12 6x + 4y = 9 + 3 + 8 10x - 15x + 3y - 5y = 12 + 2 6x + 4y = 20 -5x - 2y = 14 |*2 6x + 4y = 20 -10x - 4y = 28 sumujemy stronami -4x = 48 x = -12 4y = 20 - 6x = 20 + 6*12 = 116 y = 29
a) y+2-(3-x)=0 x-2=5-(2-y) y+2-3+x=0 x-2=5-2+y y+x=0-2+3 x-y=5-2+2 y+x=1 x-y=5 _______ y+x+x-y=6 2x=6 x=3 y+3=1 x=3 y=-2 x=3 b) 3(x-y)+4x=8 3(x-5y)=5-9y 3x-3y+4x=8 3x-15y=5-9y 7x-3y=8 3x-15y+9y=5 7x-3y=8 /*-2 3x-6y=5 -14x+6y=-16 3x-6y=5 ___________ -14x+6y+3x-6y=-11 -11x=-11 x=1 7*1-3y=8 x=1 -3y=8-7 x=1 -3y=1 x=1 y= -1/3 <-- minus jedna trzecia . x=1 c) 3(2x-1)+4(y-2)=9 2(5x-1)+3y=5(3x+y)+2 6x-3+4y-8=9 10x-2+3y=15x+5y+2 6x+4y=9+8+3 10x+3y-15x-5y=2+2 6x+4y=20 /:2 -5x-2y=4 3x+2y=10 -5x-2y=4 ____________ 3x+2y-5x-2y=14 -2x=14 x=-7 3x+2y=10 x=-7 -21+2y=10 x=-7 2y=31 x=-7 y=15,5 x=-7
