Resolver las siguientes ecuaciones:
a) x + 4x = 7 + 13
b) 9 + 5x – 4 = 23 - x
c) 8x + 10 = 6x + 12
d) 3x + 5x - 7 = 6x + 1
Respuestas a la pregunta
Respuesta:
a) x = 4
b) x = 3
c) x = 1
d) x = 4
Explicación paso a paso:
a)
x + 4x = 7 + 13
5x = 20
x = 4
b)
9 + 5x – 4 = 23 - x
5 + 5x = 23 - x
5x + x = 23 - 5
6x = 18
x = 3
c)
8x + 10 = 6x + 12
8x - 6x = 12-10
2x = 2
x = 1
d)
3x + 5x - 7 = 6x + 1
8x - 7 = 6x + 1
8x - 6x = 1 + 7
2x = 8
x = 4
Explicación paso a paso:
a) x + 4x = 7 + 13
5x = 7 + 13
5x = 20
x = 20/5
x = 4
b) 9 + 5x - 4 = 23 - x
9 + 5x + x - 4 = 23
9 + 6x - 4 = 23
6x - 4 = 23 - 9
6x - 4 = 14
6x = 14 + 4
6x = 18
x = 18/6
x = 3
c) 8x + 10 = 6x + 12
8x - 6x + 10 = 12
2x + 10 = 12
2x = 12 - 10
2x = 2
x = 2/2
x = 1
d) 3x + 5x - 7 = 6x + 1
3x + 5x - 6x - 7 = + 1
8x - 6x - 7 = +1
2x - 7 = + 1
2x = 7 + 1
2x = 7 + 1
2x = 8
x = 8/2
x = 4