Question

metodo de sustitucion

3x-2y=5
2x+y=8

Answer 1

$3x-2y=5 \\ 3x=5+2y \\ \\ x= \frac{5+2y}{3} \\ \\ En \ la \ segunda \ ecuaci\'on \ sustituimos \ la \ x \ despejada \ arriba: \\ 2x+y=8 \\ \\ 2( \frac{5+2y}{3})+y=8 \\ \\ \frac{10+4y}{3}+y=8 \\ \\ 10+4y+3y=24 \\ 4y+3y=24-10 \\ 7y=14 \\ \\ y= \frac{14}{7} \\ \\ \boxed{y=2} \\ \\ x= \frac{5+2y}{3} \\ \\ x= \frac{5+2(2)}{3}= \frac{9}{3} \\ \\ \boxed{x=3}$