Question

resolva o sistema {5x+y=-1 utilizando o metodo substituicao?
{X+4Y=15

Answer 1

$5x+y=-1$

$5x=-1-y$

$x=\frac{-1-y}{5}$




$x+4y=15$

$(\frac{-1-y}{5})+4y=15$

$\frac{-1-y}{5}+\frac{20y}{5}=15$

$\frac{-1-y+20y}{5}=15$

$\frac{19y-1}{5}=15$

$19y-1=75$

$19y=75+1$

$y=\frac{76}{19}$

$y=4$




$x=\frac{-1-y}{5}$

$x=\frac{-1-4}{5}$

$x=\frac{-5}{5}$

$x=-1$

RESPOSTA:
$\boxed{x=-1 \quad , \quad y=4}$

Espero ter ajudado, abraços!