Question

Resolva as equações abaixo. a)18x - 43 = 65 b) 23x - 16 = 14 - 17x c) 10y - 5 (1 + y) = 3 (2y - 2) – 20 d) 3 + x = 0 e) 23x + 2 = 2 f) 12 – 7 + 4x = 25 g) 5x – 3x = 30 h) 4x + 10 = 45 – 3x

Answer 1

Resposta:

$a)6 \\ b) \frac{3}{4} \\ c) + 1 \\ d) - 3 \\ e)0 \\ f) \frac{3}{2} \\ g)15 \\ h)5$

Explicação passo-a-passo:

$a)18x - 43 = 65 \\ 18x = 65 + 43 \\ 18x = + 108 \\ x = \frac{108}{18} \\ x = 6\\ \\ b) 23x - 16 = 14 - 17x \\ 23x + 17x = 14 + 16 \\ 40x = 30 \\ x = \frac{30}{40} = \frac{3}{4} \\ \\ c) 10y - 5 (1 + y) = 3 (2y - 2) - 20 \\ 10y - 5 - 5y = 6y - 6 - 20 \\ 10y - 5y - 6y = - 6 - 20 + 5 \\ - 1y = - 1 \\ y = \frac{ - 1}{ - 1} = + 1 \\ \\ d) 3 + x = 0 \\ x = - 3 \\ x = \frac{ - 3}{1} \\ x = - 3\\ \\ e) 23x + 2 = 2 \\ 23x = 2 - 2 \\ 23x = 0 \\ x = \frac{0}{23} \\ x = 0\\ \\ f) 12 - 7 + 4x = 25 \\ 4x = 25 - 12 - 7 \\ 4x = 6 \\ x = \frac{6}{4} = \frac{3}{2} \\ \\ g) 5x - 3x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15\\ \\ h) 4x + 10 = 45 - 3x \\ 4x + 3x = 45 - 10 \\ 7x = 35 \\ x = \frac{35}{7} \\ x = 5$