Ecuaciones - Cepasanfrancisco.edurioja.org

6Soluciones a los ejercicios y problemas
6 Resuelve las ecuaciones siguientes:
a)
1
(2 + 5x) =
1
x –
1
b)2(x – 3) –
1
= x –
1
(x – 1)
5 2(
5)
3 3
c) 1 –
3x
=
3
–
1
(x – 2)
8 4 2
d)x –
3x
=
1
(2x – 1) +
x
4 3 6
e) 5
x
–
1
4 10
=
1
3x –
1
2 2
f) 1 –
3
(x + 1) =
2x
–
1
7 3 7
(
)
a)
2
+ x =
x
–
1
5 2 10
8 4 + 10x = 5x – 1 8 x = –1
b) 2x – 6 –
1
= x –
x
+
1
3 3 3
8 6x – 18 – 1 = 3x – x +1 8 x = 5
c) 1 –
3x
8
=
3
–
x
+ 1 8 8 – 3x = 6 – 4x +8 8 x = 6
4 2
d) x –
3x
=
2x
4 3
–
1
+
x
3 6
8 12x – 9x = 8x – 4 + 2x 8 x =
4
7
e)
5x
4
–
1
=
3x
–
1
2 2 4
8 5x – 2 = 6x – 1 8 x = –1
f) 21 – 9(x + 1) = 14x – 3 8 21 – 9x – 9 = 14x – 3 8 x =
7 Elimina denominadores y resuelve.
a) x –
x – 3
= 1
5
b)1 –
x +1
= 2x –
1
3 3
c) 1 –
1 – x
= x +
1
3 2
d)
3x
– 1 =
3x +2
2 4
e)
3x – 1
– 1 = 2x – 2
2
f) x +
2 – 3x
=
x
+ 1
5 2
g) 2x +
x – 3
=
x – 3
2 4
h)
3x
– 1 = x –
x +1
5
2
i)
x
–
x +2
=
x
5 15 3
j)
x – 5
+
x – 2
= x – 2
3 5
k)
x +3
–
x – 6
= 1
5 7
l)
1 – x
–
x – 1
=
3x – 1
3 12 4
a) 5x – (x – 3) = 5 8 5x – x + 3 = 5 8 x =
b) 3 – (x + 1) = 6x – 1 8 3 – x – 1 = 6x – 1 8 x =
c) 6 – 2(1 – x) = 6x +3 8 6 – 2 + 2x = 6x +3 8 x =
d) 6x – 4 = 3x + 2 8 x = 2
Unidad 6. Ecuaciones
(
)
1
2
3
7
1
4
15
23
Pág. 3