Question

dado o sistema calcule o valor de x e y
X-2y=6
2x+4y=4
​

Answer 1

Resposta:

$x=4\ e\ y=-1$

Explicação passo a passo:

$\left\{\begin{array}{ccc}x-2y=6\ (i)\\2x+4y=4\ (ii)\end{array}\right\\\\\\x=6+2y\ (iii)\\\\Substituindo\ (iii)\ em\ (ii)\ temos:\\\\2\bullet(6+2y)+4y=4\\\\12+4y+4y=4\\\\8y=4-12\\\\8y=-8\\\\y=-\frac{8}{8}\\\\y=-1\\\\Substituindo\ o\ valor\ de\ y\ em\ (i),\ obtemos\ o\ valor\ de\ x:\\\\x=6+2\bullet(-1)\\\\x=6-2\\\\x=4$