PORTAFOLIO DE PRECALCULO

PORTAFOLIO DE PRECALCULO

KISLEV V. CARDENAS DELGADO

UNIDAD 1

Resolver: Sustitución, reducción, igualación

REDUCCION

[pic 1]

2x+5y= -4

X=-4

5(-4) +2y=1

-20+2y=1

2y=1+20

Y=21/2

Y=10.5

[pic 2]

[pic 3]

6x+4y=20

X=20

2(20) +y=6

40+y=6

Y=6-40

Y=-34

[pic 4]

_______________

X+2y=0

X=0

3(0)-y= -14

Y= -14

[pic 5]

_________________

-4x+15y=3

X=3

2(3) +3y=2

5+3y=2

3y=2-5

Y=3/3

Y=1

[pic 6]

________________

-2x-y= -9

X= -9

-9+2y=1

2y=1+9

Y=10/2

Y=5

[pic 7]

______________

1-2y=7

X=7

2(7)-4y=3

14-4y=3

4y=3-14

Y=-11/4

Y=2.75

[pic 8]

______________

5x+5y=5

X=5

2(5) +3y=1

10+3y=1

3y=1-10

Y=-9/3

Y=-3

[pic 9]

_____________

-4x-6y=15

X=15

4(15)-3y=5

60-3y=5

-3y=5-60

Y=-55/-3

Y=18.33

[pic 10]

______________

6x=4

X=4

5(4)-2y=2

20-2y=2

2y=2-20

Y=-18/-2

Y=2

[pic 11]

________________

3x-3y=-9

X=-9

5(-9)-y=3

-45-y=3

Y=3-45

Y=-42

[pic 12]

________________

7x-y=1

X=1

5(1) +2y=11

5+2y=11

2y=11-5

Y=6/2

Y=3

[pic 13]

_______________

-y=11

Y=11

2x-5(11) =4

2x-55=4

2x=4+55

X=59/2

X=29.5

[pic 14]

_______________

3x+5y=-4

X= -4

2(4) +y= -5

8+y= -5

Y=-5-8

Y=-13

[pic 15]

______________

-3x-y=5

X=5

3(5) +y=4

15+y=4

Y=4-15

Y=-11

[pic 16]

_______________

6x-y=-11

X=11

2(11) +2y=-2

11+2y=-2

2y=-2-11

Y=13/3

Y=6.5

[pic 17]

_____________

5x-2y= 6

X=6

3(6) +5y=15

18+5y=15

5y=15-18

Y=-3/5

Y=- 0.6

[pic 18]

____________

10x+11y=3

X=3

4(3) +6y=2

12+6y=2

6y=2-10

Y=-8/6

Y= - 1.33

[pic 19]

__________________

5x-y= -2

X=-2

2(-2) +y=2

-4+y=2

Y=2+6

Y=8

[pic 20]

______________

4x-16y=20

X=20

4y=5-20

Y=15/4

Y=31.25

SUSTITUCION

[pic 21]

2y=1-5x          

Y=1-5x/2    

5x+2(1-5x/2) =1

5x+2-10=1

5x-8=1

5X=1+8

X=1+8/5

[pic 22]

[pic 23]

y=6-2x

4x+3(6-2x) =14

4x+18-6=14

4x-12=14

4x=14+12

X=14+12/4

[pic 24]

_______________

3y=14+2

Y=14+2/3

-2x+3(14+3x/3) =14

-2x+42+9=14

-2x+51=14

-2x=14-51

X=14-51/-2

[pic 25]

_________________

3y=2-2x

Y=2-2x/3

2x+3(2-2x/3) =2

2x+6-6=2

2x-0=2

X=2/2

[pic 26]

________________

2y=1-x

Y=1-x/2

X+2(1-x/2) =1

X+2-2=1

X=1

[pic 27]

______________

2y=4+x

Y=4+x/2

2x-4(4+x/2) =3

2x-8-4=3

2x-12=3

2x=3+12

X=3+12/2

[pic 28]

______________

3y=1-2x

Y=1-2x/3

3x+2(1-2x/3) =4

3x+2-4=4

3x-2=4

X=4+2/3

[pic 29]

_____________

3y=5-4x

Y=5-4x/3

-8x+6(5-4/3) =10

-8x+30-24=10

-8x+6=10

-8x=10-6

X=10-6/-8

[pic 30]

______________

2y=2-5x

Y=2-5x/5

X+2(2-5x/5) =2

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