Determine whether the system of linear equations is consistent or inconsistent.
$$\left\{ \begin{array} { c }
- 9 x + 6 y = - 1 \
- 81 x + 54 y = - 10
\end{array} \right.$$
A) inconsistent
B) consistent

Question

Determine whether the system of linear equations is consistent or inconsistent.
$$\left\{ \begin{array} { c } 
- 9 x + 6 y = - 1 \
- 81 x + 54 y = - 10
\end{array} \right.$$
A) inconsistent
B) consistent

Quizplus · Accepted Answer

The second equation is a multiple of the first equation, but with a different constant term, indicating parallel lines with no intersection, hence the system is inconsistent.

Determine Whether the System of Linear Equations Is Consistent or Inconsistent