Sistema de ecuaciones
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Transcript of Sistema de ecuaciones
X+6Y=2
X+2Y=1
4Y=1 Y=1/4 X=1/2
(X/2)+3Y=1X+2Y=1B
A
A BX Y
0,5 0,25-4 1
X Y0,5 0,25-1 1
GRÁFICA
5
(1/2, 1/4)
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 BX Y
0,5 0,31 0,25
X Y0,5 0,31 0,2
GRÁFICA
6
(1/2, 1/3)
5X+6Y=2
3X-6Y=30
8X=32 X=4 Y=-3
(5X/2)+3Y=1(3X/2)-3Y=15B
A
A BX Y4 -3-2 2
X Y4 -32 -4
GRÁFICA
7
(4, -3)
2X+7Y=3
2X-2Y=6
9Y=9 Y=1 X=-2
2(X-Y)+(X-Y)/3=3X-1X-Y=3B
A
A BX Y-2 15 -1
X Y-2 13 0
GRÁFICA
8
(-2, 1)
3X+Y=5
13X+Y=25
10X=20 X=2 Y=-1
(2X-Y)/5=X-13X-(2X-Y)/5=5B
A
A BX Y2 -10 5
X Y2 -10 25
GRÁFICA
10
(2, -1)
4X-3Y=-9
2X-3Y=-7
2X=-2 X=-1 Y=5/3
Y=(4X/3)+3Y=(2X/3)+(7/3)B
A
A BX Y-1 1,60 3
X Y-1 1,61 3
GRÁFICA
11
(-1, 5/3)
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 BX Y
O,3 0,51 0
X Y0,3 0,5-1 3
GRÁFICA
12
(1/3, 1/2)