Respuestas
Soluciones a “Ejercicios y problemas”
Unidad 10. Álgebra
PÁGINA 202
■ Ecuaciones con paréntesis
22 Resuelto en el libro del alumno.
23 Resuelve estas ecuaciones:
a) 4 – (5x – 4) = 3x b) 7x + 10 = 5 – (2 – 6x)
c) 5x – (4 – 2x) = 2 – 2x d) 1 – 6x = 4x – (3 – 2x)
a) 4 – (5x – 4) = 3x 8 4 – 5x + 4 = 3x 8 8 = 8x 8 x = 1
b) 7x + 10 = 5 – (2 – 6x) 8 7x + 10 = 5 – 2 + 6x 8 x = –7
c) 5x – (4 – 2x) = 2 – 2x 8 5x – 4 + 2x = 2 – 2x 8 9x = 6 8 x = 6
9
= 2
3
d) 1 – 6x = 4x – (3 – 2x) 8 1 – 6x = 4x – 3 + 2x 8 4 = 12x 8 x = 4
12 = 1
3
24 Resuelve.
a) x – (3 – x) = 7 – (x – 2) b) 3x – (1 + 5x) = 9 – (2x + 7) – x
c) (2x – 5) – (5x + 1) = 8x – (2 + 7x) d) 9x + (x – 7) = (5x + 4) – (8 – 3x)
a) x – (3 – x) = 7 – (x – 2) 8 x – 3 + x = 7 – x + 2 8 3x = 12 8 x = 12
3
= 4
b) 3x – (1 + 5x) = 9 – (2x + 7) – x 8 3x – 1 – 5x = 9 – 2x – 7 – x 8 x = 3
c) (2x – 5) – (5x + 1) = 8x – (2 + 7x) 8 2x – 5 – 5x – 1 = 8x – 2 – 7x 8
8 – 4 = 4x 8 x = –1
d) 9x + (x – 7) = (5x + 4) – (8 – 3x) 8 9x + x – 7 = 5x + 4 – 8 + 3x 8
8 2x = 3 8 x = 3
2
25 Resuelto en el libro del alumno.
26 Halla x en cada caso:
a) 2(x + 5) = 16 b) 5 = 3 · (1 – 2x)
c) 5(x – 1) = 3x – 4 d) 5x – 3 = 3 – 2(x – 4)
e) 10x – (4x – 1) = 5 · (x – 1) + 7 f ) 6(x – 2) – x = 5(x – 1)
g) 7(x – 1) – 4x – 4(x – 2) = 2 h) 3(3x – 2) – 7x = 6(2x – 1) – 10x
i) 4x + 2(x + 3) = 2(x + 2)
a) 2(x + 5) = 16 8 2x + 10 = 16 8 2x = 6 8 x = 3
b) 5 = 3 · (1 – 2x) 8 5 = 3 – 6x 8 2 = –6x 8 x = – 2
6
= – 1