Question

Resolva o sistema de equações:​

Answer 1

$\frac{1x}{3} + y = 3 \: \: | \: \: \: \frac{x}{3} + y \: \: = 3 \: > \: x + 3y = 9\\ x + \frac{1y}{4} = 1 \: \: | \: x + \frac{y}{4} = 1 > 4x + y = 4$

$x + 3y = 9 \\ 4x + y = 4$

$x = 9 - 3y \\4x + y = 4$

$4(9 - 3y) + y = 4 \\ 36 - 12y - y = 4 \\ 36 - 11y = 4 \\ - 11y = 4 - 36 \\ - 11y = - 32 \\ y = \frac{32}{11}$

$4x + \frac{32}{11} = 4 \\ 4x = 4 - \frac{32}{11} \\ 4x = \frac{12}{11} \\ x = \frac{3}{11}$

$(x,y) = ( \frac{3}{11} , \frac{32}{11} )$