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Respuestas a la pregunta
Respuesta:
3(x+5)+6=5+5(x+2)
3x+15+6=10(x+2)
3x+21=10x+20
3x-10x=20-21
-7x= -1
x= -1÷(-7)
x= 1÷7
Explicación paso a paso:
Ecuaciones Parte II:
Pregunta 1:
2(x + 5) = 16
x + 5 = 16/2
x + 5 = 8
x = 8 - 5
x = 3
Pregunta 2:
3(t + 1) = 18
t + 1 = 18/3
t + 1 = 6
t = 6 - 1
t = 5
Pregunta 3:
2(3y - 5) = 14
3y - 5 = 14/2
3y - 5 = 7
3y = 7 + 5
3y = 12
y = 12/3
y = 4
Pregunta 4:
4(3t - 2) = 88
3t - 2 = 88/4
3t - 2 = 22
3t = 22 + 2
3t = 24
t = 24/3
t = 8
Pregunta 5:
2(3x + 1) = 11
6x + 2 = 11
6x = 11 - 2
6x = 9
x = 9/6 //Simplificamos tercia
x = 2/3
Pregunta 6:
6(3k + 5) = 39
18k + 30 = 39
18k = 39 - 30
18k = 9
k = 9/18
k = 1/2
Pregunta 7:
9(3x - 5) = 9
3x - 5 = 9/9
3x - 5 = 1
3x = 1 + 5
3x = 6
x = 6/3
x = 2
Pregunta 8:
3(t + 7) = 15
t + 7 = 15/3
t + 7 = 5
t = 5 - 7
t = -2
Actividad 3:
Primera Pregunta:
3(x + 5) + 6 = 5 + 5(x + 2)
3x + 15 + 6 = 5 + 5x + 10
3x + 21 = 5x + 15
21 - 15 = 5x - 3x
6 = 2x
6/2 = x
3 = x
Segunda Pregunta:
8x - 3(2 + 5x) = 2(7 - x)
8x - 6 - 15x = 14 - 2x
-7x - 6 = 14 - 2x
-14 - 6 = 7x - 2x
-20 = 5x
-20/5 = x
-4 = x
Tercera Pregunta:
5(3x - 7) - 3(x - 9) = 4(3x - 2)
15x - 35 - 3x + 27 = 12x - 8
12x - 8 = 12x - 8
12x - 12x = 8 - 8
0x = 0
x = 0/0
x = indeterminado
Cuarta Pregunta:
2(x + 5) -3(4 + x) - 4x = 2x - 23
2x + 10 - 12 - 3x - 4x = 2x - 23
-5x - 2 = 2x - 23
23 - 2 = 2x + 5x
21 = 7x
21/7 = x
3 = x
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