Use Gaussian elimination to solve the system of equations.
-$$\begin{array} { l }
9 x - 5 y = 54 \
3 x - 3 y = 18
\end{array}$$
A) $( 6,0 )$
B) No solution
C) $( 5,1 )$
D) $( 6,1 )$

Question

Use Gaussian elimination to solve the system of equations.
-$$\begin{array} { l } 
9 x - 5 y = 54 \
3 x - 3 y = 18
\end{array}$$
A) $( 6,0 )$
B) No solution
C) $( 5,1 )$
D) $( 6,1 )$

Quizplus · Accepted Answer

The system of equations can be solved using Gaussian elimination. First, simplify the second equation by dividing by 3, resulting in $x - y = 6$. Then, use this simplified equation to eliminate $x$ or $y$ from the other equation. By multiplying the simplified equation by 5 and subtracting from the first equation, we eliminate $y$ and find $x = 6$. Substituting $x = 6$ into the simplified equation gives $y = 0$. Therefore, the solution is $(6, 0)$.

Use Gaussian Elimination to Solve the System of Equations 9x−5y=543x−3y=18\begin{array} { l } 9 x - 5 y = 54 \\3 x - 3 y = 18\end{array}9x−5y=543x−3y=18​

Use Gaussian Elimination to Solve the System of Equations $\begin{array} { l } 9 x - 5 y = 54 \\3 x - 3 y = 18\end{array}$