Question

O quíntuplo da metade do antecessor de um número racional adicionado de 3, é igual a quarta parte do seu sucessor menos 1. Que número é esse?

Answer 1

$\dfrac{5(x-1)}{2}+2=\dfrac{(x+1)}{4}-1\\\\\\\dfrac{5(x-1)}{2}+3=\dfrac{(x+1)}{4}\\\\\\\dfrac{5(x-1)}{2}+\dfrac{6}{2}=\dfrac{(x+1)}{4}\\\\\\\dfrac{6+5(x-1)}{2}=\dfrac{(x+1)}{4}\\\\\\\dfrac{6+5(x-1)}{2}=\dfrac{(x+1)}{4}\\\\\\4(6+5(x-1))=2(x+1)\\\\24+20(x-1)=2x+2\\\\24+20x-20=2x+2\\\\20x-2x=20+2-24\\\\18x=-2\\\\x=-\dfrac{2}{18}\\\\\boxed{x=-\dfrac{1}{9}}$



É o número -1/9.