Determine whether the system is consistent or inconsistent. $ \left\{\begin{array}{l} x+y=1 \ 2 x+2 y=6\end{array}\right. $
A)The system is consistent.
B)The system is inconsistent.

Question

Quizplus · Accepted Answer

The second equation is equivalent to $x+y=3$. Therefore, the two equations describe two lines that intersect at no point, which means there is no solution to the system. The system is inconsistent.

Determine Whether the System Is Consistent or Inconsistent {x+y=12x+2y=6 \left\{\begin{array}{l} x+y=1 \\ 2 x+2 y=6\end{array}\right. {x+y=12x+2y=6​

Determine Whether the System Is Consistent or Inconsistent $\left\{\begin{array}{l} x+y=1 \\ 2 x+2 y=6\end{array}\right.$