Determine whether the system of linear equations is consistent or inconsistent.
$$\left\{ \begin{aligned}
- x + 9 y & = 5 \
- 4 x + 36 y & = 21
\end{aligned} \right.$$
A) inconsistent
B) consistent

Question

Quizplus · Accepted Answer

The system is inconsistent because the second equation is a multiple of the first, but the constants on the right side do not have the same ratio (21 is not 4 times 5), indicating no solutions exist.

Determine Whether the System of Linear Equations Is Consistent or Inconsistent