Question

1)resolver las siguientes ecuaciones:

a) 2.x = 6

b) 2.x + 6 = 12

c) 4.x - 26 = 10

d) x:5 + 8 = 12

e) x:2 = 6

2) resolver las siguientes ecuaciones

a) 2.x - 3 = 6 + x

b) 4 x - 6 = 6 + x

c) x-1 = 2 (sobre 6)
----
6

d) x-2 = 3 (sobre 5)
----
5
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Answer 1

Respuesta:

$a) \: 2x = 6 \\ x = 6 \div 2 \\ x = 3$

$b)2x + 6 = 12 \\ 2x = 12 - 6 \\ 2x = 6 \\ x = 6 \div 2 \\ x = 3$

$c)4x - 26 = 10 \\ 4x = 10 + 26 \\ 4x = 36 \\ x = 36 \div 4 \\ x = 9$

$d)x \div 5 + 8 = 12 \\ x \div 5 = 12 - 8 \\ x \div 5 = 4 \\ x = 4 \times 5 \\ x = 20$

$e)x \div 2 = 6 \\ x = 6 \times 2 \\ x = 12$

$punto \: 2) \\ a) \: 2x - 3 = 6 + x \\ 2x - x = 6 + 3 \\ 1x = 9 \\ x = 9 \div 1 \\ x = 9$

$b)4x - 6 = 6 + x \\ 4x - x = 6 + 6 \\ 3x = 12 \\ x = 12 \div 3 \\ x = 4$

$c)x - 1 = \frac{2}{6} \\ x = \frac{2}{6} + 1 \: se \: multiplica \: 6 \times 1 = 6\\ x = \frac{2 + 6}{6} \\ x = \frac{8}{6} \: se \: simplifica \: y \: nos \: queda \\ \frac{4}{3}$

$d) \: x - 2 = \frac{3}{5} \\ x = \frac{3}{5} + 2 \\ x = \frac{3 + 10}{5} \\ x = \frac{13}{5}$