Question

resolva as equaçoes
a-7 (×-2)=5 (×+3)
b-2 (×-5)+4 (×-1)=0
c-3 (2×-1)=2 (×+3)
d-7 (×-1)-2 (×-5)=×-5
​

Answer 1

Resposta:

a) 29/2 b) 7/3 c) 9/4 d) -2

Explicação passo-a-passo:

$a) \: 7(x - 2) = 5(x + 3) \\ 7x - 14 = 5x + 15 \\ 7x - 5x = 15 + 14 \\ 2x = 29 \\ x = \frac{29}{2}$

$b) \: 2(x - 5) + 4(x - 1) = 0 \\ 2x - 10 + 4x - 4 = 0 \\ 6x - 14 = 0 \\ 6x = 14 \\ x = \frac{14}{6} \\ x = \frac{7}{3}$

$c) \: 3(2x - 1) = 2(x + 3) \\ 6x - 3 = 2x + 6 \\ 6x = 2x + 6 + 3 \\ 6x = 2x + 9 \\ 6x - 2x = 9 \\ 4x = 9 \\ x = \frac{9}{4}$

$d) \: 7(x - 1) - 2(x - 5) = x - 5 \\ 7x - 7 - 2x + 10 = x - 5 \\ 7x - 2x - x = - 5 + 7 - 10 \\ 4x = - 8 \\ x = \frac{ - 8}{4} \\ x = - 2$