rozwiąż układy dowolna metodą
1) 4x²-9 -4(x²-10xy+25y²)-3x+3y=20xy-5x²-(x²-20xy+100y²)+6x²
2y-x=10(2x-y)
4x²-9-4x²+40xy-100y²-3x+3y=20xy-5x²-x²+20xy-100y²+6x²
2y-x=20x-10y
-3x+3y=9 /*(-4) (x²,y² ixy nam się poskracało)
-21x+12y=0
12x-12y=-36
-9x=-36 /:(-9)
x=4
-3x+3y=9
-12+3y=9
3y=21 /:3
y=7
2) 1 równanie mnoze na krzyż , 2 przez 6:
-2(y-5)=2(x+4)
6(x²+6x+9)-(2y-18)=6(x²-4)+2(2+3y)+128
-2y+10 = 2x+8
6x²+36x+54-2y+18=6x²-24+4+6y+128
-2x-2y=-2 /:(-2)
36x-8y=36 /:4
x+y=1
9x-2y=9
x=1-y
9(1-y)-2y=9
9-9y-2y=9
-11y=0 /:(-11)
y=0
x=1-y=1-0=1
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1) 4x²-9 -4(x²-10xy+25y²)-3x+3y=20xy-5x²-(x²-20xy+100y²)+6x²
2y-x=10(2x-y)
4x²-9-4x²+40xy-100y²-3x+3y=20xy-5x²-x²+20xy-100y²+6x²
2y-x=20x-10y
-3x+3y=9 /*(-4) (x²,y² ixy nam się poskracało)
-21x+12y=0
12x-12y=-36
-21x+12y=0
-9x=-36 /:(-9)
x=4
-3x+3y=9
-12+3y=9
3y=21 /:3
y=7
2) 1 równanie mnoze na krzyż , 2 przez 6:
-2(y-5)=2(x+4)
6(x²+6x+9)-(2y-18)=6(x²-4)+2(2+3y)+128
-2y+10 = 2x+8
6x²+36x+54-2y+18=6x²-24+4+6y+128
-2x-2y=-2 /:(-2)
36x-8y=36 /:4
x+y=1
9x-2y=9
x=1-y
9(1-y)-2y=9
9-9y-2y=9
-11y=0 /:(-11)
y=0
x=1-y=1-0=1