Ecuaciones De Primer Grado

ECUACIONES DE PRIMER GRADO

































Resuelve las siguientes ecuaciones:

a) x + 16 = 41
b) 9x – 45 + 4x – 16 = 4
c) 2x – 3 + x –35 = 2 – 9x – 4
d) 3 · (x – 2) + 9 = 0
e) 8x + 7 – 2x + 5 = 4x + 12 – (x – 30)
f) x + (x + 2) = 36
g) 2 · (3x – 2) – (x + 3) = 8
h) 2 · (13 + x) = 41 + x
i) 2 · (x – 3) – 3 ·(4x – 5) = 17 – 8x
j) 4x – 3 · (1 – 3x) = –3
k) 4 · (2x) – 3 · (3x – 5) = 12x – 180
l) 6 – x = 4 · (x – 3) – 7 · (x – 4)
m) 3 · (2x – 6) – [(x – (3x – 8) + 2) – 1] = 2 – (3 – 2x)n) (x – 2)2 = x2
ñ) x · (x + 4) = x2 + 8
ECUACIONES DE PRIMER GRADO (Soluciones)

Resuelve las siguientes ecuaciones:

a x + 16 = 41

x = 41 – 16 ( x = 25

b) 9x – 45 + 4x – 16 = 4

9x+ 4x = 45 + 16 + 4 ( 13x = 65 ( x = 5

c) 2x – 3 + x – 35 = 2 – 9x – 4

2x + x + 9x = 2 – 4 + 3 + 35 ( 12x = 36 ( x = 3

d) 3 · (x – 2) + 9 = 0

3x – 6 + 9 = 0 ( 3x = 6 – 9 ( 3x = (3 ( x = (1e) 8x + 7 – 2x + 5 = 4x + 12 – (x – 30)

8x + 7 – 2x + 5 = 4x + 12 – x + 30 ( 8x – 2x – 4x + x = –7 – 5 + 12 + 30 ( 3x = 30 ( x = 10

f) x + (x + 2) = 36

x + x + 2 = 36 ( 2x = (2 + 36 ( x =17

g) 2 · (3x – 2) – (x + 3) = 8

6x – 4 – x – 3 = 8 ( 6x – x = 8 + 4 + 3 ( 5x = 15 ( x = 3

h) 2 · (13 + x) = 41 + x

26 + 2x = 41 + x ( 2x – x = 41 – 26 ( x = 15

i) 2 · (x – 3) – 3 · (4x– 5) = 17 – 8x

2x – 6 – 12x + 15 = 17 – 8x ( 2x – 12x + 8x = 17 + 6 – 15 ( (2x = 8 ( x = (4

j) 4x – 3 · (1 – 3x) = –3

4x – 3 + 9x = –3 ( 4x + 9x = –3 + 3 ( 13x = 0 ( x = 0

k) 4 · (2x) – 3· (3x – 5) = 12x – 180

8x – 9x + 15 = 12x – 180 ( 8x – 9x –12x = –180 – 15 ( –13x = –195 ( x = 15

l) 6 – x = 4 · (x – 3) – 7 · (x – 4)

6 – x = 4x – 12 – 7x + 28 ( –x – 4x + 7x = –12 + 28 – 6( 2x = 10 ( x = 5


m) 3 · (2x – 6) – [(x – (3x – 8) + 2) – 1] = 2 – (3 – 2x)

6x – 18 – [x – 3x + 8 + 2 – 1] = 2 – 3 + 2x ( 6x – 18 – x + 3x – 8 – 2 + 1 = 2 – 3 + 2x ( 6x – x + 3x – 2x = 2 –...