Question

$\left \{ {{\frac{2}{3} x-\frac{y}{4} =-2} \atop {y+x=5\\}} \right.$

Answer 1

Resposta:

S = {-9/11, 64/11}

Explicação passo-a-passo:

$\begin{cases}</p><p> \frac{2}{3} x - \frac{y}{4} =\ - 2 \\</p><p> y + x =\ 5</p><p>\end{cases} \\ x = 5 - y \\ \\ \frac{2(5 - y)}{3} - \frac{y}{4} = - 2 \\ \frac{8(5 - y) - 3y}{12} = - \frac{24}{12} \\ 40 - 8y - 3y = - 24 \\ - 8y - 3y = - 24 - 40 \\ - 11y = - 64 \\ 11y = 64 \\ y = \frac{64}{11} \\ \\ x = 5 - y \\ x = 5 - \frac{64}{11} \\ x = \frac{55 - 64}{11} \\ x = - \frac{9}{11}$

Answer 2

Resposta:

$(x,y) = ( - \frac{9}{11} , \frac{64}{11} )$

Explicação:

$\frac{2}{3} x - \frac{y}{4} = - 2 \\ y + x = 5 \\ \\ \\ \frac{2}{3} x - \frac{y}{4} = - 2 \\ y \\ x = 5 - y \\ \\ \\ \frac{2}{3} \times (5 - y) - \frac{y}{4} = - 2 \\ \\ \\ y = \frac{64}{11} \\ \\ \\ x = 5 - \frac{64}{11} \\ \\ \\ x = - \frac{9}{11} \\ \\ \\ (x,y) = ( - \frac{9}{11} , \frac{64}{11} )$