Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
-$$\left\{ \begin{array} { r }
- 2 x - 8 y = - 8 \
4 x + 16 y = 3
\end{array} \right.$$
A) $x = - 8 , y = 3$
B) $x = - 2 , y = 3$
C) $x = - 2 , y = - 2$
D) Inconsistent

Question

Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
-$$\left\{ \begin{array} { r } 
- 2 x - 8 y = - 8 \
4 x + 16 y = 3
\end{array} \right.$$
A) $x = - 8 , y = 3$
B) $x = - 2 , y = 3$
C) $x = - 2 , y = - 2$
D) Inconsistent

Quizplus · Accepted Answer

The system is inconsistent because when the equations are simplified, they lead to a contradiction. The first equation can be divided by -2 to get $x + 4y = 4$, and the second equation can be divided by 4 to get $x + 4y = \frac{3}{4}$. These two equations cannot be true at the same time since they suggest different values for the same linear combination of $x$ and $y$.

Solve Each System of Equations Using Matrices (Row Operations) {−2x−8y=−84x+16y=3\left\{ \begin{array} { r } - 2 x - 8 y = - 8 \\4 x + 16 y = 3\end{array} \right.{−2x−8y=−84x+16y=3​

Solve Each System of Equations Using Matrices (Row Operations) $\left\{ \begin{array} { r } - 2 x - 8 y = - 8 \\4 x + 16 y = 3\end{array} \right.$