Question

Encontre o valor de x e y no sistema abaixo:

3x + 2y = 6
2x + 3y = 5

Answer 1

$\left \{ {{3x+2y=6} \atop {2x+3y=5}} \right.$

$\left \{ {{9x+6y=18} \atop {4x+6y=10}} \right.$

$(9x+6y)-(4x+6y)=18-10$

$9x+6y-4x-6y=8$

$5x=8$

$x=\frac{8}{5}$

$2x+3y=5$

$2\cdot \frac{8}{5}+3y=5$

$\frac{16}{5}+3y=5$

$\frac{16}{5}+\frac{15y}{5}=\frac{25}{5}$

$16+15y=25$

$15y=25-16$

$15y=9$

$y=\frac{9}{15}$

$y=\frac{3}{5}$