Question

SISTEMA DE EQUAÇÃO
{2x−3y=8 
{4x−2y=2
 RESOLVA O SISTEMA

Answer 1

$\left \{ {{2x-3y=8} \atop {4x-2y=2}} \right. \\ \\ 2x-3y=8 \\ 2x=8+3y \\ \\ 4x-2y=2 \\ 2.(2x)-2y=2 \\ 2(8+3y)-2y=2 \\ 16+6y-2y=2 \\ 4y=2-16 \\ 4y=-14 \\ y= \frac{-14}{4} \\ y= -\frac{7}{2} \\ \\ 2x=6+3y \\ 2x=6+3.(\frac{-7}{2}) \\2x=6- \frac{21}{2} \\ 2x= \frac{12}{2} - \frac{21}{2} \\ 2x= \frac{-9}{2} \\ x=\frac{\frac{-9}{2}}{2} \\ x= -\frac{9}{4} \\ \\ \boxed {S=(-\frac{9}{4}, -\frac{7}{2})}$