Question

Реши систему уравнений методом подстановки. {−x−2t+2=4x=−6−t

Answer 1

Ответ:

$\left\{\begin{array}{l}-x-2t=2\\4x=-6-t\end{array}\right\ \ \left\{\begin{array}{l}x=-2t-2\\4\, (-2t-2)=-6-t\end{array}\right\ \ \left\{\begin{array}{l}x=-2t-2\\-8t-8=-6-t\end{array}\right\\\\\\\left\{\begin{array}{l}x=-2t-2\\-7t=2\end{array}\right\ \ \left\{\begin{array}{l}x=\dfrac{4}{7}-2\\t=-\dfrac{2}{7}\end{array}\right\ \ \left\{\begin{array}{l}x=-\dfrac{10}{7}\\t=-\dfrac{2}{7}\end{array}\right\ \ Otvet:\ \Big(-1\dfrac{3}{7}\ ;\ -\dfrac{2}{7}\Big)\ .$