Respuestas
p) 3(4x) = 33 + x
12x = 33 + x
12x - x = 33
11x = 33
x = 33/11
x= 3
q) 4x/15 = 6x+28 / 5
5(4x) = 15(6x + 28)
20x = 90x + 420
- 420 = 90x - 20x
- 420 = 70x
- 420/70 = x
- 6 = x
r) 2x/3 = 5x-24 / 12
12(2x) = 3(5x - 24)
24x = 15x - 72
24x - 15x = - 72
9x = - 72
x = - 72/9
x = - 8
s)13x/5 = 3x+140 / 10
10(13x) = 5(3x + 140)
130x = 15x + 700
130x - 15x = 700
115x = 700
x = 700/115
x = 140/23
t) -8x-9 / 15 = 2x-26 / 15
15(- 8x - 9) = 15(2x - 26)
- 120x - 135 = 30x - 390
390 - 135 = 120x + 30x
255 = 150x
255/150 = x
51/30 = x
u) x+10 / 6 = 7x-29 / 6
6(x + 10) = 6(7x - 29)
6x + 60 = 42x - 174
174 + 60 = 42x - 6x
234 = 36x
234/36 = x
117/18 = x
39/6 = x
13/2 = x
v) -29x-108 / 52 = x + 6
- 29x - 108 = 52(x + 6)
- 29x - 108 = 52x + 312
- 312 - 108 = 52x + 29x
- 420 = 81x
- 420/81 = x
- 140/27 = x
w) 8x+1 / 2 = 27x-2 / 4
4(8x + 1) = 2(27x - 2)
32x + 4 = 54x - 4
4 + 4 = 54x - 32x
8 = 22x
8/22 = x
2/11 = x
con estos ejemplos puedes hacer los últimos tres ejercicios
Respuesta:
p) 3(4x) = 33 + x
12x = 33 + x
12x - x = 33
11x = 33
x = 33/11
x= 3
q) 4x/15 = 6x+28 / 5
5(4x) = 15(6x + 28)
20x = 90x + 420
- 420 = 90x - 20x
- 420 = 70x
- 420/70 = x
- 6 = x
r) 2x/3 = 5x-24 / 12
12(2x) = 3(5x - 24)
24x = 15x - 72
24x - 15x = - 72
9x = - 72
x = - 72/9
x = - 8
s)13x/5 = 3x+140 / 10
10(13x) = 5(3x + 140)
130x = 15x + 700
130x - 15x = 700
115x = 700
x = 700/115
x = 140/23
t) -8x-9 / 15 = 2x-26 / 15
15(- 8x - 9) = 15(2x - 26)
- 120x - 135 = 30x - 390
390 - 135 = 120x + 30x
255 = 150x
255/150 = x
51/30 = x
u) x+10 / 6 = 7x-29 / 6
6(x + 10) = 6(7x - 29)
6x + 60 = 42x - 174
174 + 60 = 42x - 6x
234 = 36x
234/36 = x
117/18 = x
39/6 = x
13/2 = x
v) -29x-108 / 52 = x + 6
- 29x - 108 = 52(x + 6)
- 29x - 108 = 52x + 312
- 312 - 108 = 52x + 29x
- 420 = 81x
- 420/81 = x
- 140/27 = x
w) 8x+1 / 2 = 27x-2 / 4
4(8x + 1) = 2(27x - 2)
32x + 4 = 54x - 4
4 + 4 = 54x - 32x
8 = 22x
8/22 = x
2/11 = x
Explicación paso a paso: