Taller 2 despejando ando

TALLER

1. Halla el valor de x

a. 3 ( x -2) = 7 – (3 +2x)

3 x – 6 = 7 – 3 - 2x

3x + 2x = 7 – 3 + 6

x = 10 = 2
5

b. 5x + ½ = 7x + 3/2

5x - 7x = 3/2 – 1/2

- 2x = 1x = - 1 / 2 x= - 0,5

c. -2 [ 5x +3 ] = 3( 2x +4 )

- 10x – 6 = 6 x + 12

- 10 x – 6x = 12 + 6

- 16x = 18

x = - 18 = - 1.125
16

d. (3x – 4 ) ( 4) = 5 – 3(x +2)

12x - 16 = 5 – 3 x – 6

12x + 3x = 16 + 5 – 6

15 x = 15 x = 1

2. Halla el valor de x y y mediante uno de los métodos de solución estudiados

a. 2x + 3y = 12
3x + 2y =13

2x = 12 – 3 y

x = 12 – 3 y
2

Sustituyo

3 12 – 3y + 2y = 13
2

36 – 9 y + 2y = 13
2

36 – 9 y + 4y = 13
2

36 – 5 y = 13* 2

36 – 5y = 26

- 5 y = 26 – 36

y = - 10 y = 2
- 5

Sustituyo

2x + 3y = 12

2x + 6 = 12

2x = 12 - 6

x = 6 . x= 3
2b. 5x – y = 7
3x + 2y = 12

5x = 7 + y

x = 7 + y
5

Sustituyo

3 7 + y + 2y = 12
5

21 + 3 y + 10y = 12
5

21 + 13 y = 12 * 513 y = 60 - 21

y = 39 y = 3
13

Sustituyo

5x - 3 = 7

5x = 10

x = 2

c. 3x + 2y = 12
X – 2y = 11

3x = 12 - 2y

x = 12 – 2y
3Sustituyo

12 - 2y - 2y = 11
3

12 - 2 y - 6y = 11
3

12 - 8 y = 11 * 3

-8 y = 33 - 12

y = 21 y = 2.625
-8

Sustituyo

x – 2 y = 11

x –2 (2.625) = 11

x – 5.25 = 11

x = 16.25

d. 5x – 6y = 3
2x + 3y = 3

5x = 3 + 6y

x = 3 + 6y
5

Sustituyo

2 3 + 6y + 3y = 3
5

6 + 12 y +15y =3
5

6 + 27 y= 3 * 5


27 y = 15 – 6

y = 11 y =0.41
27

Sustituyo

5x - 6 y = 3

5x – 6 (0.41) = 3

5x – 2.46 = 3

5x = 3 + 2.46

5x =5.46

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