Respuestas
Explicación paso a paso:
a-) 1. 6x – 7 = 2x + 5
6x – 2x = 5 + 7
4x = 12
x =12/4
La solución es x = 3
b-) 2. (13 + 2x)/(4x + 1 ) = 3/4
(13 + 2x)4 = 3(4x + 1 )
52 + 8x = 12x + 3
52 – 3 = 12x – 8
49 = 4x
La solución x = 49/4
c-) 3. (3 + 5x)/5 = (4 – x)/7
(3 + 5x)7 = (4 – x) 5
21 + 35x = 20 – 5x
35x + 5x = 20 – 21
40x = -1
La solución x = -1/40
d-) 4. 4x – 3 = -12x + 5
4x +12x = 5 + 3
16x = 8
x = 8/16 = 1/2
La solución x = 1/2
e-) 5. 6x +2 – 3x = 7x + 4
3x + 2 = 7x + 4
3x – 7x = 4 – 2
-4x = 2
x = 2/-4
La solución x = -1/2
f-) 6. 4(2y + 5) = 3(5y – 2)
8y + 20 = 15y – 6
20 + 6 = 15y – 8y
26 = 7y
La solución y = 26/7
g-) 7. 1/5x + 2 = 3 – 2/7x
1/5x + 2/7x = 3 – 2
17/35 x = 1
La solución x = 35/17
h-) 8. x + 1 = 3
x = 3 -1
La solución x = 2
i-) 9. 1.5x – 0.7 = 0.4(3 – 5x)
1.5x – 0.7 = 1.2 – 2x
1.5x + 2x = 1.2 + 0.7
3.5x = 1.9
La solución x = 1.9/3.5
j-) 10. 6x + 12x -3 – 7x + 4= 0
11x + 1 = 0
11x = -1
La solución x = -1/11