Question

Resolva o sistema:Marque a alternativa correta.
2(x - 2) + 3y = -7
3x - 2(y - 4) = -3

Answer 1

Resposta:

x = -3 ; y = 1

Explicação passo-a-passo:

$2(x-2)+3y=-7$ => $2x - 4+3y=-7$ => $2x+3y = -3$

$3x-2(y-4)=-3$ => $3x-2y+8=-3$ => $3x-2y=-11$

$2x=-3-3y$ => $x=\frac{-3-3y}{2} =-\frac{3}{2} .(1+y)$

$3(-\frac{3}{2}.(1+y))-2y=-11$ => $-\frac{9}{2}.(1+y)-\frac{4y}{2}=-\frac{22}{2}$ =>

=> $-\frac{9}{2} -\frac{9y}{2} -\frac{4y}{2}=-\frac{22}{2}$ => $-\frac{13y}{2} =-\frac{13}{2}$ => $y=1.$

$2x+3(1)=-3 => x=-3.$