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Sistema de ecuaciones
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Jos辿 Carlos Sotomayor Ponte
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Sistema de ecuaciones
2.
1 6X+9Y=36 6X+4Y=26 5Y=10 Y=2
X=3 2X+3Y=12 3X+2Y=13B A A B X Y 3 2 0 4 X Y 3 2 1 5 GRFICA (3, 2)
3.
10X-2Y=14 3X+2Y=12 13X=26 X=2 Y=3 5X-Y=7 3X+2Y=12B A A
B X Y 2 3 0 -7 X Y 2 3 0 6 GRFICA 2 (2, 3)
4.
6X+2Y=10 X-2Y=11 7X=21 X=3 Y=-4 3X+Y=5 X-2Y=11B A A
B X Y 3 -4 0 5 X Y 3 -4 1 -5 GRFICA 3 (3, -4)
5.
4X+6Y=6 5X-6Y=3 9X=9 X=1 Y=1/3 2X+3Y=3 5X-6Y=3B A A
B X Y 1 0,3 0 1 X Y 1 0,3 -3 -3 GRFICA 4 (1, 1/3)
6.
X+6Y=2 X+2Y=1 4Y=1 Y=1/4 X=1/2 (X/2)+3Y=1 X+2Y=1B A A
B X Y 0,5 0,25 -4 1 X Y 0,5 0,25 -1 1 GRFICA 5 (1/2, 1/4)
7.
2X+2Y=10XY 2X+3Y=12XY Y=2XY X=1/2 Y=1/3 (1/X)+(1/Y)=5 (3/X)+(2/Y)=12B A A
B X Y 0,5 0,3 1 0,25 X Y 0,5 0,3 1 0,2 GRFICA 6 (1/2, 1/3)
8.
5X+6Y=2 3X-6Y=30 8X=32 X=4 Y=-3 (5X/2)+3Y=1 (3X/2)-3Y=15B A A
B X Y 4 -3 -2 2 X Y 4 -3 2 -4 GRFICA 7 (4, -3)
9.
2X+7Y=3 2X-2Y=6 9Y=9 Y=1 X=-2 2(X-Y)+(X-Y)/3=3X-1 X-Y=3B A A
B X Y -2 1 5 -1 X Y -2 1 3 0 GRFICA 8 (-2, 1)
10.
8X-3Y=-36 3Y=12 8X=-24 X=-3 Y=4 (8X-3Y)/4=-9 3Y=12B A A B X
Y -3 4 0 12 X Y -3 4 GRFICA 9 (-3, 4)
11.
3X+Y=5 13X+Y=25 10X=20 X=2 Y=-1 (2X-Y)/5=X-1 3X-(2X-Y)/5=5B A A
B X Y 2 -1 0 5 X Y 2 -1 0 25 GRFICA 10 (2, -1)
12.
4X-3Y=-9 2X-3Y=-7 2X=-2 X=-1 Y=5/3 Y=(4X/3)+3 Y=(2X/3)+(7/3)B A A
B X Y -1 1,6 0 3 X Y -1 1,6 1 3 GRFICA 11 (-1, 5/3)
13.
6X+8Y=6 15X+8Y=9 9X=3 X=1/3 Y=1/2 (X/2)+(2Y/3)=1/2 (5X/4)+(2Y/3)=3/4B A A
B X Y O,3 0,5 1 0 X Y 0,3 0,5 -1 3 GRFICA 12 (1/3, 1/2)
14.
4X+3Y=8 2X-3Y=4 6X=12 X=2 Y=0 4X+3(Y-1)=5 3(Y-1)=2X-7B A A
B X Y 2 0 5 -4 X Y 2 0 5 2 GRFICA 13 (2, 0)
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