Question

Determina el valor de la incógnita en las siguientes ecuaciones:

1. 4x = 2x – 12

2. 7y+ 12 = 4y – 17

3. (3m + 3) = m - (2m + 1)

4. 5(z + 2) = 40

5. 3(a - 4) + 6 = 9​

Answer 1

Explicación paso a paso:

$4x = 2x - 12 \\ 4x - 2x = - 12 \\ 2x = - 12 \\ x = - \frac{12}{2} \\ x = - 6$

$7y + 12 = 4y - 17 \\ 7y - 4y = - 17 - 12 \\ 3y = - 29 \\ y = - \frac{29}{3}$

$(3m + 3) = m - (2m + 1) \\ 3m + 3 = m - 2m - 1 \\ 3m - m + 2m = - 1 - 3 \\ 4m = - 4 \\ m = - \frac{4}{4} \\ m = - 1$

$5(z + 2) = 40 \\ 5z + 10 = 40 \\ 5z = 40 - 10 \\ 5z = 30 \\ z = \frac{30}{5} \\ z = 6$

$3(a - 4) + 6 = 9 \\ 3a - 12 + 6 = 9 \\ 3a = 9 + 12 - 6 \\ 3a = 15 \\ a = \frac{15}{3} \\ a = 5$