Use Gaussian elimination to solve the system of equations.
$$\begin{array} { c }
x - 2 y = 17 \
9 x + 6 y = 9
\end{array}$$
A) (5, -6)
B) (-5, 6)
C) (6, -5)
D) (-6, 5)

Question

Use Gaussian elimination to solve the system of equations.
$$\begin{array} { c } 
x - 2 y = 17 \
9 x + 6 y = 9
\end{array}$$
A) (5, -6)
B) (-5, 6)
C) (6, -5)
D) (-6, 5)

Quizplus · Accepted Answer

To solve the system using Gaussian elimination, first eliminate y from the second equation by multiplying the first equation by 3 and adding it to the second equation. This gives 12x = 60, so x = 5. Substitute x = 5 into the first equation to find y: 5 - 2y = 17, which simplifies to y = -6. Thus, the solution is (5, -6).

Use Gaussian Elimination to Solve the System of Equations x−2y=179x+6y=9\begin{array} { c } x - 2 y = 17 \\9 x + 6 y = 9\end{array}x−2y=179x+6y=9​

Use Gaussian Elimination to Solve the System of Equations $\begin{array} { c } x - 2 y = 17 \\9 x + 6 y = 9\end{array}$