Use Determinants to Identify Inconsistent Systems and Systems with Dependent Equations
-$$\begin{array} { l }
9 x + y = 32 \
9 x + y = 41
\end{array}$$
A) system is inconsistent
B) system contains dependent equations

Question

Use Determinants to Identify Inconsistent Systems and Systems with Dependent Equations
-$$\begin{array} { l } 
9 x + y = 32 \
9 x + y = 41
\end{array}$$
A) system is inconsistent
B) system contains dependent equations

Quizplus · Accepted Answer

The system is inconsistent because the two equations have the same coefficients for $x$ and $y$ but different constant terms, meaning they represent parallel lines that never intersect.

Use Determinants to Identify Inconsistent Systems and Systems with Dependent 9x+y=329x+y=41\begin{array} { l } 9 x + y = 32 \\9 x + y = 41\end{array}9x+y=329x+y=41​

Use Determinants to Identify Inconsistent Systems and Systems with Dependent $\begin{array} { l } 9 x + y = 32 \\9 x + y = 41\end{array}$