Question

Resolvendo a equação 2(x + 4) = 4x + 11, obtém-se:
(A) x = -2,4 (B) x = -1,5 (C) x = -1,2 (D) x = -0,5

Answer 1

Oi, boa tarde!

Resposta:

Alternativa B.

Explicação passo-a-passo:

2(x + 4) = 4x + 11 —> Equação do 1º grau.

2x + 8 = 4x + 11

2x – 4x = 11 – 8

– 2x = 3 · (– 1)

2x = – 3

x = (– 3)/2

x = – 1,5. —> Alternativa B.

Espero ter te ajudado e bons estudos para você! ;)

Answer 2

$\sf 2\cdot(X+4)=4x+11\\\\\\2x+8=4x+11\\\\\\{Subtrair\:}8{\:de\:ambos\:os\:lados}\\\\\\2x+8-8=4x+11-8\\\\\\2x=4x+3\\\\\\2x-4x=4x+3-4x\\\\\\-2x=3\\\\\\\dfrac{-2x}{-2}=\dfrac{3}{-2}\\\\\\\to \boxed{\sf x=-\frac{3}{2} \approx-1,5}$