Układy równań : 1) 12x-7y=-16 x-3y=-68 2) 4(x-2)-(y-2)=1 10x-2y=18 3) x/2+y/3=1 1/3 x/3=y/2 = 2 1/3 x/2 - to ułamek !!!

Układy równań : 1) 12x-7y=-16 x-3y=-68 2) 4(x-2)-(y-2)=1 10x-2y=18 3) x/2+y/3=1 1/3 x/3=y/2 = 2 1/3 x/2 - to ułamek !!!
Odpowiedź

1) 12x-7y=-16 x-3y=-68 x= -68 +3y 12 (-68+3y) - 7y= -16 x=-68+3y -816 +36y - 7y=-16 x=-68 +3y 29y= 800 x=-68 +3y y=27,58 x= -68 + 82,74 y= 27,58 x=14,74 y=27,58 2)4(x-2)-(y-2)=1 10x-2y=18 4x-8 -y +2 =1 10x-2y=18 -y=1-2+8-4x 10x-2y=18 y=-1+2-8+4x 10x-2y=18 y=-7+4x 10x - 2 (-7 +4x)= 18 y=-7 +4x 10x +14 - 8x = 18 y=-7+4x 2x=4 y=-7+4x x=2 x=2 y=-7 + 8 x=2 y=1 3)x/2+y/3=1 1/3 /*6 x/3=y/2 = 2 1/3 /*6 3x+2y = 8 /*3 2x-3y=14 /*2 9x+6y= 24 4x - 6y = 28 13x=52 x=4 x=4 -6y= 28-16 x=4 -6y= 12 x=4 y=-2 Mysle, ze pomoglam i, ze tak jest dobrze. Pozdrawiam

b)4(x-2)-(y-2)=1 10x-2y=18 4x-8-y+2=1 10x-2y=18 3x=1-2+8+y 10x-2y=18 3x=7+y/3 /:3 10x-2y=18 x=7/3 + y/3 10x-2y=18 x=7/3 + y/3 10(7/3 + y/3) -2y=18 70/3 +10y/3 - 2y =18 /*3 70+10y-6y=18 -4y=6-70 y=16 x=7/3 + 16/3 /*3 x=7+16 x=23 c)x/2 +y/3=1 1/3 /*6 x/3+y/2= 2 1/3 /*6 3x+2y=8 2x+3y=14 3x=8-2y /:3 2x=14-2y x=8/3- 2y/3 2*(8/3 - 2y/3)=14-3y 16/3-4y/3=14-3y/*3 16-4y=51-9y -4y+9y=51-16 5y=35 y=7 x=8/3-2*7/3 x=8/3-14/3 x=-2 a)12x-7y=16 x-3y=-68 x=-68+3y 12*(-68+3y)-7y=-16 816+36y-7y=-16 816+36y-7y=-16 29y=-16-816 29y=-832 y=- 832/29 x=-68+3*(-832/29) x=2496/29- 68 x=154 2/29

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