Respuestas
Se dan seis ejercicios de ecuaciones matemáticas para resolverlas:
a) (x + 3)/3 = x + 5
(x + 3) = 3(x + 5)
x + 3 = 3x + 15
x – 3x = 15 – 3
-2x = 12
x = -12/2 = - 6
X = - 6
b) - 8 = (x – 1)/4
(- 8) x 4 = x – 1
- 32 = x – 1
x = 1 – 32 = -31
X = - 31
c) (x + 3)/3 = x + 5
Idéntico al del literal a).
X = - 6
d) 3/4 = 1 – x/2
3/4 = 1 – x/2
x/2 = 1 – 3/4
x = 2(1 - 3/4) = 2(4 – 3)/4 = 2(1)/4 = 2/4 = 1/2
x = 1/2
e) 12x/3 = (3x/2) + 2
4x = (3x/2) + 2
4x - (3x/2) = 2
(8x -3x)/2 = 2
5x/2 = 2
5x = 4
X = 4/5
f) (x + 1)/6 – (x – 4)/3 = 9/4
(x + 1 – 2(x – 4))/6 = 9/4
(x + 1 – 2x + 8)/6 = 9/4
(- x + 9)/6 = 9/4
- x + 9 = 6(9/4)
- x = 6(9/4) – 9
- x = 54/4 - 9
x = 9 – 54/4 = (36 - 54)/4 = - 18/4 = - 9/2
X = - 9/2
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