Question

Quanto e 2x + 5y = 16
3x + 2y = 2
Me ajuda e pra segunda

Answer 1

Explicação passo-a-passo:

$\begin{cases}~2x+5y~=~16 \\ \\ 3x+2y~=~2 \end{cases}$

$\begin{cases}x~=\dfrac{16-5y}{2} \\ \\ 3.\Big(\dfrac{16-5y}{2}\Big)+2y~=~2 \end{cases}~\Leftrightarrow~\begin{cases}~x~=~\dfrac{16-5y}{2} \\ \\ \dfrac{48-15y}{2}~=~2-2y\end{cases}$

$\begin{cases}~x~=~\dfrac{16-5y}{2} \\ \\ 48-15y~=~4-4y \end{cases}~\Lefttightarrow~\begin{cases}~x~=~\dfrac{16-5y}{2} \\ \\ -4y+15y~=~48-4 \end{cases}$

$\begin{cases}~x~=~\dfrac{16-5y}{2}~\\ \\ 11y~=~44 \end{cases} ~ \Leftrightarrow \begin{cases}~x~=~\dfrac{16-5y}{2} \\ \\ y~=~\dfrac{44}{11}=4 \end{cases}$

$\begin{cases}~x~=~\dfrac{16-5.4}{2} \\ \\ y~=~4 \end{cases} ~ \Leftrightarrow ~ \begin{cases}x~=~\dfrac{-4}{2} \\ \\ y~=~4 \end{cases}$

$\begin{cases} ~x~=~-2 \\ \\ y~=~4 \end{cases}$

Espero ter ajudado bastante!)