Use the Gauss-Jordan method to solve the system of equations.$$
\begin{array}{l}
-2 x-8 y=6 \
-4 x-16 y=2
\end{array}
$$
A) $ (2,2) $
B) $ \left(-\frac{4}{3} x-\frac{1}{3} y, y\right) $
C) $ (6,2) $
D) No solution

Question

Quizplus · Accepted Answer

The given system of equations is:$$\begin{array}{l}-2x - 8y = 6 \-4x - 16y = 2\end{array}$$If we divide the second equation by 2, we get:$$-2x - 8y = 1$$Comparing this with the first equation:$$-2x - 8y = 6$$We see that the two equations are inconsistent (they cannot both be true for the same values of $x$ and $y$) because they have the same left-hand side but different right-hand sides. This means the system of equations has no solution.

Use the Gauss-Jordan Method to Solve the System of Equations −2x−8y=6−4x−16y=2\begin{array}{l}-2 x-8 y=6 \\-4 x-16 y=2\end{array}−2x−8y=6−4x−16y=2​

Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array}{l}-2 x-8 y=6 \\-4 x-16 y=2\end{array}$