Question

Determine o conjunto solução por Método Comparação:

{x+y=10
{x-3y=-2

Answer 1

Explicação passo-a-passo:

$\color{violet}{\Large\bf{\left \{ {{x + y = 10} \atop {x - 3y = - 2}} \right.}}$

$\color{violet}{\Large\bf{\left \{ {{x = 10 - y} \atop {x - 3y = - 2}} \right.}}$

$\color{violet}{\Large\bf{\left \{ {{x = 10 - y} \atop {x = - 2 + 3y}} \right.}}$

$\color{violet}{\Large\bf{10 - y = - 2 + 3y}}$

$\color{violet}{\Large\bf{10 - y - 3y = - 2}}$

$\color{violet}{\Large\bf{ - y - 3y = - 2 - 10}}$

$\color{violet}{\Large\bf{ - 4y = -12 }}$

$\color{violet}{\Large\bf{y = \frac{ - 12}{ - 4} }}$

$\color{violet}{\Large\bf{y = 3}}$

$\color{violet}{\Large\bf{x = - 2 + 3 \times 3}}$

$\color{violet}{\Large\bf{x = - 2 + 9}}$

$\color{violet}{\Large\bf{x = + 7}}$

$\color{violet}{\Large\bf{\left \{ {{7 + 3 = 10} \atop {7 - 3 \times 3 = - 2}} \right.}}$

$\color{violet}{\Large\bf{\left \{ {{10 = 10} \atop { - 2 = - 2}} \right.}}$

$\boxed{ \color{lime}\boxed{ \huge{(x,y) = (7,3)} }{}{} }$

$\green{ \boxed{{\mathbb{ATT: ARMANDO}}}}$