Solve the system using Gaussian elimination or Gauss-Jordan elimination.
-$$\begin{array} { l }
- 5 y = 24 - 3 x \
2 ( x - 4 y ) = 49 - y
\end{array}$$
A) $\{ ( 7,9 ) \}$
B) $\{ ( - 7 , - 9 ) \}$
C) $\{ ( 9,7 ) \}$
D) $\{ ( - 9 , - 7 ) \}$

Question

Solve the system using Gaussian elimination or Gauss-Jordan elimination.
-$$\begin{array} { l } 
- 5 y = 24 - 3 x \
2 ( x - 4 y ) = 49 - y
\end{array}$$
A) $\{ ( 7,9 ) \}$
B) $\{ ( - 7 , - 9 ) \}$
C) $\{ ( 9,7 ) \}$
D) $\{ ( - 9 , - 7 ) \}$

Quizplus · Accepted Answer

First, simplify and rearrange the equations into standard form (Ax + By = C). The first equation is already given as $-3x - 5y = 24$. The second equation simplifies to $2x - 8y = 49 - y$, which rearranges to $2x - 7y = 49$. Then, using either Gaussian elimination or Gauss-Jordan elimination, you can solve the system to find $x = -7$ and $y = -9$, which corresponds to choice B.

Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination −5y=24−3x2(x−4y)=49−y\begin{array} { l } - 5 y = 24 - 3 x \\2 ( x - 4 y ) = 49 - y\end{array}−5y=24−3x2(x−4y)=49−y​

Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination $\begin{array} { l } - 5 y = 24 - 3 x \\2 ( x - 4 y ) = 49 - y\end{array}$