Question

Hallar el conjunto solucion de las siguientes ecuaciones:
A)13-19x+9+7x=x-4-13x
B)-8+8x-6-11x+1=5+3x
C)3(x+5)+6=5+5(x+2)
D)8x-3(2+5x)=2(7-x)
E)5(3x-7)-3(x-9)=4(3x-2)
F)2(x+5)-3(4+x)-4x=2x-23

Answer 1

A) 13 - 19x + 9 + 7x = x - 4 - 13x
22 - 12x = -4 - 12x
22= -4
C.S={ }
B) - 8 + 8 x - 6 - 11 x + 1 = 5 + 3 x
8x - 11x - 3 x = 5 - 1 + 6 + 8
6 x = 18
X= 3
C.S.={3}
C) 3(x + 5) + 6 = 5 + 5 (x + 2)
3x + 15 + 6 = 5 + 5 x + 10
15 + 6 - 5 - 10 = 5x - 3x
6 = 2x
3= x
C.S.={3}
D) 8x - 3(2 + 5x )= 2(7 - x)
8x - 6 - 15 = 14 - 2x
- 6 - 14 = 15 x - 2x - 8 x
20 = 5x
X=4
C.S={4}
E) 5 (3x - 7 )- 3 (x + 9 )= 4(3 x - 2)
15 x - 35 - 3 x + 27 = 2x - 8
15 x -3 x -12 x = - 8 - 27 + 35
15 x -15 x = - 35 + 35
0=0
CS= {R}
F)2(x+5)-3(4+x)-4x=2x-23
2x + 10 - 12 - 3x - 4x = 2x - 23
2x - 3x - 4x - 2x = - 23 - 10 + 12
- 7x = -21
X = 3
C.S={3}

Answer 2

a )

13 - 19x + 9 + 7x = x - 4 - 13x
- 19x + 7x - x + 13x = - 4 - 13 - 9

0x = - 26             → C.S { ∅ } " conjunto vacio : no tiene solucion "

b )


- 8 + 8x - 6 - 11x + 1 = 5 + 3x
8x - 11x - 3x = 5 + 8 + 6 - 1
- 6x = 18
x = 18/ -6
x = - 3         → C.S. { - 3 }

c )

3 ( x + 5) + 6 = 5 + 5 ( x + 2 )
3x + 15 + 6 = 5 + 5x + 10
3x - 5x = 5 + 10 - 6 - 15
- 2x = - 6
x = - 6 / - 2
x = 3                  → C.S. { 3 }

d )


8x - 3 ( 2 + 5x ) = 2 ( 7 - x )
8x - 6 - 15x = 14 - 2x
8x - 15x + 2x = 14 + 6
- 5x = 20
x = 20 / - 5
x = - 4                  → C.S. { - 4 }


e )

5 ( 3x - 7 ) - 3 ( x - 9 ) = 4 ( 3x - 2 )
15x - 35 - 3x + 27 = 12x - 8
15x - 3x - 12x = - 8 + 35 - 27

0x = 0                   → C.S.{ ∅ }

f )


2 ( x + 5 ) - 3 ( 4 + x ) - 4x = 2x - 23
2x + 10 - 12 - 3x - 4x = 2x - 23
2x - 3x - 4x - 2x = - 23 - 10 + 12
- 7x = - 21
x = - 21/ - 7
x = 3           →  C.S. { 3 }