Question

11- Resolva as equações:

a) 3(x+ 2) + 4 (x-1) = 16 c) 5 x + 15x = 30

b) 2(x + 1) – 3 (x – 5 ) + 3 = 30 d) 2x – 3 = - 6​

Answer 1

Olá!!  :)

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Sabendo que todos os itens envolvem produtos notáveis, vamos responder!!

$\sf ITEM \ (A): \\\\ \Rightarrow \ \ 3 \ (x \ + \ 2) \ + \ 4 \ (x \ - \ 1) \ = \ 16 \\\\ \Rightarrow \ \ 3x \ + \ 6 \ + \ 4x \ - \ 4 \ = \ 16 \\\\ \Rightarrow \ \ 3x \ + \ 4x \ = \ 16 \ + \ 4 \ - 6 \\\\ \Rightarrow \ \ 7x \ = \ 14 \\\\ \Rightarrow \ \ x \ = \ \frac{14}{7} \\\\ \Rightarrow \ \ \boxed{ \sf x \ = \ 2}$

$\sf ITEM \ (B): \\\\ 2 \ (x \ + \ 1) \ - \ 3 \ (x \ - \ 5) \ + \ 3 \ = \ 30 \\\\ 2x \ + \ 2 \ - \ 3x \ + \ 15 \ + \ 3 \ = \ 30 \\\\ 2x \ - \ 3x \ = \ 30 \ - \ 2 - \ 15 \ - \ 3 \\\\ -x \ = \ -10 \ \ \ (-1) \\\\ \boxed{ \sf x \ = \ 10}$

$\sf ITEM \ (C): \\\\ \Rightarrow \ \ 5x \ + \ 15x \ = \ 30 \\\\ \Rightarrow \ \ 20x \ = \ 30 \\\\ \Rightarrow \ \ x \ = \ \frac{30}{20} \\\\ \Rightarrow \ \ x \ = \ \frac{30^{:10}}{20^{:10}} \\\\ \Rightarrow \ \ \boxed{ \sf x \ = \ \frac{3}{2}}$

$\sf ITEM \ (D): \\\\ \Rightarrow \ \ 2x \ - \ 3 \ = \ -6 \\\\ \Rightarrow \ \ 2x \ = \ -6 \ + \ 3 \\\\ \Rightarrow \ \ 2x \ = \ -3 \\\\ \Rightarrow \ \ \boxed{ \sf x \ = \ -\frac{3}{2} }$

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Espero ter ajudado, bons estudos!!  :)

•   ∫∫   Ajuda fornecida por Kimberly Carlos   ∫∫