Question

Me mande no modo substituição e de adição

Answer 1

Resposta:

x=10   e   y=-4

Explicação passo-a-passo:

Adição

$\left \{ {{x+y=6} \atop {2x-y=24}} \right. \\\\somando\\\\x+2x+y-y=6+24\\\\3x=30\\\\x=\frac{30}{3}\\\\x=10\\\\\\x+y=6\\\\10+y=6\\\\y=6-10\\\\y=-4$

substituição

$\left \{ {{x+y=6} \atop {2x-y=24}} \right.\\\\x+y=6=> x=6-y$

substituindo na outra equação

$2.(6-y)-y=24\\\\12-2y-y=24\\\\-3y=24-12\\\\-3y=12\\\\\\y=\dfrac{12}{-3}\\\\y=-4\\\\\\\\x=6-y\\\\x=6-(-4)\\\\x=6+4\\\\x=10$