• Matéria: Matemática
  • Autor: d6ileneluciaGoncass
  • Perguntado 9 anos atrás

X sobre y = 3 quartos e X+y =21Qual eh a resposta?

Respostas

respondido por: korvo
1
\begin{cases} \dfrac{x}{y}= \dfrac{3}{4}~~(i)\\\\x+y=21~~(ii)  \end{cases}\\\\\\
\boxed{x=21-y}~~em~ii~~(substitua~em~i):\\\\\\
 \dfrac{21-y}{y}= \dfrac{3}{4}~~(multiplique~em~cruz):\\\\\\
4\cdot(21-y)=3\cdot y\\
-4y+84=3y\\
7y=84\\\\
y= \dfrac{84}{7}\\\\
\Huge\boxed{y=12}~~(substitua~em~i~ou~em~ii):\\\\\\
x+y=21\\
x+12=21\\\\
\Huge\boxed{x=9}
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