Question

Aplicando o método da substituiçao,resolva o seguinte sistema: 2x+5Y=16 3x+2y=2

Answer 1

$\left \{ {{2x+5y=16} \atop {3x+2y=2}} \right. = \left \{ {{y=\frac{16 -2x}{5}} \atop {3x+ 2(\frac{16-2x}{5})=2}} \right. \\ \\ \left \{ {----} \atop {15x +32-4x=10}} \right. =\left \{ {{----} \atop {15x-4x=10-32}} \right.\\\\ \left \{ {{-----} \atop {11x=-22}} \right. =\left \{ {{-----} \atop {x=-\frac{22}{11}}} \right. \\\\ \left \{ {{-----} \atop {x=-2}} \right. =\left \{ {{y=\frac{16 -2x}{5}} \atop {x=-2}} \right. \\\\\left \{ {{y=\frac{16 -2(-2)}{5}} \atop {----}} \right.$

y= 4

x= -2

S{-2;4}